Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
7. Absolute Value Equations and Inequalities
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Exercise 29 Page 211

Can the absolute value of a number be negative?

No solution

Practice makes perfect
An absolute value measures an expression's distance from a midpoint on a number line. For this exercise, we need to isolate the absolute value before we can find this distance.
-4|k|=12
|k|=-3
Since distance cannot be negative, the absolute value of a number cannot be negative. |k|= -3 An absolute value cannot be equal to -3, so this equation has no solution.