Absolute value equation with two solutions
[DOCX File]Solving absolute value equations and inequalities
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Write and solve absolute value equations and inequalities in connection with the definition in real world and mathematical contexts; identify extraneous solutions; write and graph solutions as compound inequality statements in both interval and inequality notation. Include connections to …
[DOC File]SOLVE ABSOLUTE VALUE EQUATIONS - Bloomfield College
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1) When necessary, isolate the absolute value. 2) Separate the absolute value into two equations: (ax + b) = c or -(ax + b) = c NOTE: one equation, you will just drop the absolute value symbol. the other equation, you will take the opposite of each term in the absolute value. 3) Solve each equation …
[DOC File]Linear Equations - What is the Value of Algebra?
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Use the Absolute Value Equation Property to solve two cases without the absolute values, one positive and one negative. In the above example, you would solve . 2x - 3 = 2 - x. and . 2x - 3 = -(2 – x). After solving, check all answers. You may get extraneous solutions! In the example above, we would get answers of x=5/3 and x=1.
[DOC File]Solving Absolute Value Equations
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Every absolute value inequality is a compound inequality. The 2 separate inequalities come from when you split the inequality once the absolute value is isolated. So first, you isolate the absolute value following all the same steps as you did when isolating the absolute value when solving an absolute value equation.
[DOC File]Vignette: Absolute Value
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Using absolute value notation y = (x(, this idea of domain and range means that what is inside the absolute value symbols (x) can. be negative while the absolute value itself (y) cannot. be negative. The graph of the absolute value function can be used to solve the equation (x + 2( = 4 by examining the graphs of y = (x + 2( and y = 4 to see ...
[DOC File]Module 3: The Absolute Value - Portland Community College
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absolute value function. is defined as follows: The graph of is shown in Figure 1 below. Figure 1: example: Solve . SOLUTION: Since both and , both and are solutions, so the solution set is . The Absolute-Value Principle for Equations. For any positive number a and any algebraic expression X: if then the equation has two solutions. if then the ...
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