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Pearson Algebra 1 Common Core, 2011 View details

7. Absolute Value Equations and Inequalities

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Exercise 56 Page 211

Can the absolute value of a number be negative?

No solution

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Before we can solve this equation, we need to isolate the absolute value expression using the Properties of Equality.

|y|/-3=5

MultEqn

LHS * (-3)=RHS* (-3)

|y|=-15

An absolute value measures an expression's distance from a midpoint on a number line. Since distance cannot be negative, the absolute value of a number cannot be negative. |y|= -15 An absolute value cannot be equal to -15, so this equation has no solution.