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Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 21 Page 32

Can the absolute value of a number be negative?

Solution: No solution
Number Line:

Practice makes perfect

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

- 4|8-5n|=13

DivEqn

.LHS /(-4).=.RHS /(-4).

|9-5n|=-13/4

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. |9-5n|≠ -13/4 An absolute value cannot be equal to - 134, so this absolute value equation has no solution. Let's graph this.