The set containing all the solutions of an equation is called the solution set for that equation. If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set (or empty set). Sometimes, you may be given a replacement set, and asked to test whether the equation is true for all values in the replacement set. Find the ...The equivalent of the expression is . How to determine the equivalent of the expression. From the question, we have the following parameters that can be used in our computation:represents the given solution set. What is known as inequality? A mathematical expression in which left hand side is not equal to right hand side is known as inequality.. The given solution set is x>-4 and x<2. Option A: (x+2)(x-4)<0. x<-2 …To solve an absolute inequality first step is to isolate absolute value expression. Hence remove -4 from the left side. So, add 4 to each sides of the inequality. 2|x + 7|−4 ≥ 0 . 2|x + 7|−4 +4≥ 0 +4. 2|x + 7| ≥ 4 Combine the like terms. Divide each sides by 2. |x + 7| ≥2. Next step is to remove the absolute value sign. So, x + 7≥ ...The solutions to the equation are 19 and 31. Equation . The equation is given as:. Evaluating the equation. Take the square roots of both sides of the equation. Add 25 to both sides of the equationSolve each inequality. Give the solution set in interval notation. $$-3 \leq \frac{3 x-4}{-5}<4$$ 00:43. Solve the inequality. Express the answer using interval notation. $$ |3 x|<15 $$ Want better grades, but can’t afford to pay for Numerade? Ask your parent or …Learning Outcome. Identify whether an ordered pair is in the solution set of a linear inequality. The graph below shows the region of values that makes the inequality …Study with Quizlet and memorize flashcards containing terms like Which expression is equivalent to mc007-1.jpg?, What is the value of mc014-1.jpg?, Jerry starts a new career making $32,000 annually. Each year for a total of 30 years, Jerry receives a $1,200 annual pay increase. The total amount earned over the 30 years can be determined using the …Solution of a inequality is the set of all the possible x value which satisfy the inequality i.e. it is the collection of all the possible value which makes the inequality true. We know that the square of any quantity is always greater than or equal to zero. i.e. also, But we are given a inequality as: Hence, from (1) and (2) we get: i.e.Which statements are true regarding undefinable terms in geometry? Select two options. A point's location on the coordinate plane is indicated by an ordered pair, (x, y). A point has one dimension, length. A line has length and width. A distance along a line must have no beginning or end. A plane consists of an infinite set of points.Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result.A student showed the steps below while solving the equation mc026-1.jpg by graphing. Step 1: Write a system of equations: mc026-2.jpg. Step 2: Use the change of base formula to rewrite the equations: mc026-3.jpg. Step 3: Graph the two equations: mc026-4.jpg. Step 4: Identify the x-value at the point of intersection: mc026-5.jpg.Feb 18, 2014 · To graph, you draw a number line, you can just put values ranging from -3 to 4. Now you draw a line segment on the number line which satisfies the conditions that make the inequality true. You would draw a line segment from -2 to 3 because they make the inequality true. However, since the solution set does not contain -2 it has an open circle ...Expert-Verified Answer. The correct solution is x = 12/5, and the other options are not valid solutions. To solve the equation √ (x^2+49) = x+5, we can square both sides to eliminate the square root: x^2 + 49 = (x+5)^2. Expanding and simplifying: x^2 + 49 = x^2 + 10x + 25. Subtracting x^2 from both sides: 49 = 10x + 25.In today’s digital age, the need for efficient and convenient file conversion tools has become increasingly important. One common task that many individuals and businesses face is ...Since \(x_2\) and \(x_3\) are allowed to be anything, this says that the solution set is the set of all linear combinations of \(\left(\begin{array}{c}1\\1\\1\end{array}\right)\) and \(\left(\begin{array}{c} …The solution set of the inequality f(x) ≥ 0 is: All the real values i.e. whole of the real line or x∈R. Step-by-step explanation: By looking at the graph of the function f(x) we observe that the function is a parabolic function such that it takes all the positive values since the graph lie above the x-axis.The inequality solver will then show you the steps to help you learn how to solve it on your own. Less Than Or Equal To. Type = for "less than or equal to". Here is an example: 4x+3=23 Greater Than Or Equal To. Type >= for "greater than …Solve for x :|x|^(x²-x−2) ≥ 1 −1 &lt;x&lt;1 Aruns number is ten times smaller than marcus's number Arthimetic mean of 25th observation is 10 if one observation is recorded as 60 instead of 50.then find the correct meanExpert-Verified Answer. The correct solution is x = 12/5, and the other options are not valid solutions. To solve the equation √ (x^2+49) = x+5, we can square both sides to eliminate the square root: x^2 + 49 = (x+5)^2. Expanding and simplifying: x^2 + 49 = x^2 + 10x + 25. Subtracting x^2 from both sides: 49 = 10x + 25.Solving the inequality: Given quadratic inequality as . Adding -1 on both sides (subtracting 1) ⇒ . Dividing with 6 both sides. ⇒ . Since the value is negative and the root for negative numbers is not defined, the given inequality has no solution. Therefore, the solution set for the quadratic inequality is an empty set (∅). Learn more ...Make a single vector equation from these equations by making the coefficients of and into vectors and respectively. The solutions to will then be expressed in the form. for some vectors in and any scalars . This is called the parametric vector form of the solution. In this case, the solution set can be written as.Which description best explains the domain of mc012-1.jpg? a ( the elements in the domain of f(x) for which g(f(x)) is defined) If h(x) = x - 7 and g(x) = x2, which expression is equivalent to mc022-1.jpg?As a small business owner, managing your payroll can be a time-consuming and complex task. Thankfully, there are software solutions available that can streamline this process and m...To solve each of the inequalities, begin by moving all variable terms to the left side. 5 x + 2 ≥ 5 x − 7 2 ≥ − 7. This statement is true - the solution is all real numbers. 5 x + 2 ≤ 5 ...If mc009-1.jpg for all mc009-2.jpg in D, then mc009-3.jpg, where m and M are absolute minimum and maximum values of mc009-4.jpg on D and A (D) is the area of the domain D.Use the above property to estimate the value of the double integral mc009-5.jpg where D is the quarter circle with center at the origin and radius mc009-6.jpg in the first.Identify whether an ordered pair is in the solution set of a linear inequality. The graph below shows the region of values that makes the inequality 3x+2y\leq6 3x+2y ≤ 6 true (shaded red), the boundary line 3x+2y=6 3x+2y = 6, as well as a handful of ordered pairs. The boundary line is solid because points on the boundary line 3x+2y=6 3x +2y ...This is done because square roots only apply to non-negative numbers in the real number system. Therefore, the inequality to find the domain is 5x - 5 ≥ 0. To solve the inequality, first add 5 to both sides, resulting in 5x ≥ 5. Then, divide both sides by 5: x ≥ 1. Therefore, the domain of the function f (x) = √(5x - 5) + 1 is all real ...Trying to factor as a Difference of Squares : 1.1 Factoring: mc2-jpg Theory : A difference of two perfect squares, A2- B2 can be factored into (A+B) • (A-B) Proof : (A+B) • (A-B) =A2 - AB+BA- B2= A2- AB + AB - B2 = A2 - B2 Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated ...Solving the equation 4 (x+2)^2 = 0 leads to x = -2. Consequently, the solution set of the quadratic inequality is {-2}, since it is the only value for x that makes the entire inequality hold true. For clarity, it is important to focus solely on the given inequality 4 (x + 2)^2 ≤ 0 and its respective solution, which is based on the concept ...Answer: first part of answer: D. 3(n – 2) ≥ 5n; second part of the answer: B. (-∞, -3]. Step-by-step explanation: They are correct on Edge 2023. First part of the answer. Three times two less than a number is greater than or equal to five times the number.Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free.Trying to factor as a Difference of Squares : 1.1 Factoring: mc2-jpg Theory : A difference of two perfect squares, A2- B2 can be factored into (A+B) • (A-B) Proof : (A+B) • (A-B) =A2 - AB+BA- B2= A2- AB + AB - B2 = A2 - B2 Note : AB = BA is the commutative property of multiplication. Note : - AB + AB equals zero and is therefore eliminated ...Aug 11, 2020 · Step-by-step explanation: To find the solution set of the given inequality we will follow the following steps. 1). Convert the inequality into an equation. 2). Find the solutions from the equation. 3). Check these solutions and intervals on a number line. Given inequality is 5 (x - 2) (x + 4) > 0.Setting up a new watch can be an exciting experience, but it can also come with its fair share of challenges. If you’ve recently purchased a Casio watch and are having trouble sett...Step 1. 1. Solve the inequality. Write the solution set in interval notation. r2+2r+7 >0 (]) (−∞,∞) (−∞,−7)∪(−2,∞) (−7,∞) Solve the inequality. Write the solution set in interval notation. m−98 ≥3 (−∞, 335] (−∞,9)∪[ 335,∞) [− 319,9] [9, 335] Graph the function. p(x)= x2−166 Identify the asymptotes. f (x ...Which of the following describes the graph of mc024-1.jpg compared to the parent square root function? stretched by a factor of 2, reflected over the x-axis, and translated 9 units right stretched by a factor of 2, reflected over the x-axis, and translated 9 units left stretched by a factor of 2, reflected over the y-axis, and translated 9 units right stretched by a factor of 2, reflected over ...To graph, you draw a number line, you can just put values ranging from -3 to 4. Now you draw a line segment on the number line which satisfies the conditions that make the inequality true. You would draw a line segment from -2 to 3 because they make the inequality true. However, since the solution set does not contain -2 it has an open circle ...C. What is the solution of 1/x+1/3<1/5? -15/2<x<0. Which graph shows the solution set of x-1/x-3<0? D. The critical points of a rational inequality are x = -4 and x = 2. Which set of points can be tested to find a complete solution to the inequality? x = -5, x = 0, and x = 3. hope this helps Learn with flashcards, games, and more — for free.Sanjay uses the steps below to solve the equation mc008-1.jpg. Step 1 Multiply both sides of the equation by mc008-2.jpg. mc008-3.jpg. Step 2 Simplify like terms. mc008-4.jpg. Step 3 Subtract 10 on both sides of the equation. mc008-5.jpg. Step 4 Divide both sides of the equation by 6. mc008-6.jpg.The critical points of an inequality are those points for which the numerator of the denominator equal 0. First, you need to have an inequality and you have not writen an inequality, so I am going to do an example with an actual inequality bases of some expressions similar to those of the question: If the ineqquality is (x^2 - 9x ) / (x - 5) > 0Which of the following describes the graph of mc024-1.jpg compared to the parent square root function? stretched by a factor of 2, reflected over the x-axis, and translated 9 units right stretched by a factor of 2, reflected over the x-axis, and translated 9 units left stretched by a factor of 2, reflected over the y-axis, and translated 9 ...mwalker04. report flag outlined. Answer: B. Step-by-step explanation: arrow right. Explore similar answers. messages. Get this answer verified by an Expert.Free inequality calculator - solve linear, quadratic and absolute value inequalities step-by-step.The Neptune Society is a renowned provider of cremation services, offering personalized and compassionate solutions for individuals and families. One of the key aspects that sets t...Sep 17, 2022 · Make a single vector equation from these equations by making the coefficients of and into vectors and respectively. The solutions to will then be expressed in the form. for some vectors in and any scalars . This is called the parametric vector form of the solution. In this case, the solution set can be written as.Final answer: The inequality x² - 1/3x - 6 > 0 is solved by factoring the quadratic to find the critical points at x = 2 and x = -3 and testing intervals around these points. The solution in interval notation is (-\u221e, -3) \\cup (2, \u221e). Explanation: The student is asking to solve the inequality x2 - 1/3x - 6 > 0 and to express the ...If mc009-1.jpg for all mc009-2.jpg in D, then mc009-3.jpg, where m and M are absolute minimum and maximum values of mc009-4.jpg on D and A (D) is the area of the domain D.Use the above property to estimate the value of the double integral mc009-5.jpg where D is the quarter circle with center at the origin and radius mc009-6.jpg in the first.Set equal to and solve for . Tap for more steps... Step 3.1. Set equal to . Step 3.2. Subtract from both sides of the equation. Step 4. The final solution is all the values that make true. Step 5. Use each root to create test intervals. Step 6. Choose a test value from each interval and plug this value into the original inequality to determine ...In today’s digital age, document editing plays a crucial role in various industries. However, when it comes to working with scanned documents or images, such as JPG files, editing ...Example: 2x-1=y,2y+3=x. Inequalities. The inequalities section of QuickMath allows you to solve virtually any inequality or system of inequalities in a single variable. In most cases, you can find exact solutions. Even when this is not possible, QuickMath may be able to give you approximate solutions to almost any level of accuracy you require.The solution to the inequality k/-12 ≤ 15 is k ≥ -180. In interval notation, this is written as [-180, ∞). This means k can be any number greater than or equal to -180. Explanation: To solve the inequality k/-12 ≤ 15, we first need to step the inequality by step. As our initial step, we multiply each side by -12, bearing in mind that we ...Refer to the figure shown below. The constraints are x + y ≥ 2 4x + y ≥ -1 The solution region indicates that the point C (0,3) satisfies both constraints.The first way is to solve this inequality for and then interpret the result. Note that for any real numbers and , We solve the inequality as follows, This result means that the square of any real number will always be greater that -6. We know this to be true because the square of any number is positive and even the smallest positive number is ...Free inequality calculator - solve linear, quadratic and absolute value inequalities step-by-step.Find an answer to your question Find the simplified product: mc002-1. Jpg mc002-2. Jpg mc002-3. Jpg mc002-4. Jpg mc002-5. Jpg.Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables. Step 2: Click the blue arrow to submit and see the result!In fact, as the first example showed the inequality \(2\left( {z - 5} \right) \le 4z\) has at least two solutions. Also, you might have noticed that \(x = 3\) is not the only solution to \({x^2} - 9 = 0\). In this case \(x = - 3\) is also a solution. We call the complete set of all solutions the solution set for the equation or inequality ...The solution set of the quadratic inequality is {x|x= 2}. Computation: The equation will use the cross-division method along with the quadratic expression of:. In the given expression:. a is x. b is 2. Solving the quadratic equation:. Now, simplifying the expression: Applying the quadratic formula we get; . As, the quadratic equation is having …Solving the inequality: Given quadratic inequality as . Adding -1 on both sides (subtracting 1) ⇒ . Dividing with 6 both sides. ⇒ . Since the value is negative and the root for negative numbers is not defined, the given inequality has no solution. Therefore, the solution set for the quadratic inequality is an empty set (∅). Learn more ...Jun 27, 2017 · Expert-Verified Answer. The correct solution is x = 12/5, and the other options are not valid solutions. To solve the equation √ (x^2+49) = x+5, we can square both sides to eliminate the square root: x^2 + 49 = (x+5)^2. Expanding and simplifying: x^2 + 49 = x^2 + 10x + 25. Subtracting x^2 from both sides: 49 = 10x + 25.Nov 12, 2021 · AI-generated answer. To solve the given quadratic equation x^2 – 4x + 1 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by: x = (-b ± √ (b^2 - 4ac)) / 2a In this case, a = 1, b = -4, and c = 1. Plugging these values into the quadratic ...Verified answer. Which tools would you use to make chart 1 look like chart 2 in excel. 2. verified. Verified answer. Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3.