Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
8. Unions and Intersections of Sets
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Exercise 50 Page 220

Isolate the absolute value on the left-hand side.

n=2 or n=- 2

Practice makes perfect
Before we can solve the given equation, we need to isolate the absolute value expression using the Properties of Equality. |n|+7=9 ⇒ |n|=2

An absolute value measures an expression's distance from a midpoint on a number line. |n|=2 This equation means that the distance between n and 0 is 2, either in the positive direction or the negative direction. This can be expressed as a pair of equations equivalent to the absolute value equation. |n|=2 ⇒ ln= 2 n= - 2