Pearson Algebra 2 Common Core, 2011
PA
Pearson Algebra 2 Common Core, 2011 View details
6. Absolute Value Equations and Inequalities
Continue to next subchapter

Exercise 43 Page 46

Can the absolute value of a number be negative?

No solution.

Practice makes perfect
Before we can solve this equation, we need to isolate the absolute value expression using the Properties of Equality.
- |4-8b|=12
|4-8b|= - 12
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. | 4-8b|= - 12 An absolute value cannot be equal to -12, so this equation has no solution.