body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

Continue to next subchapter

Exercise 20 Page 32

Can the absolute value of a number be negative?

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.

|x-1|+5=2

LHS-5=RHS-5

|x-1|=- 3

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. |x-1|≠ -3 An absolute value cannot be equal to -3, so this absolute value equation has no' solution. Let's graph this.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34