Q21. - Algebra 2

Question

Write an absolute value inequality for each graph

Step-by-Step Solution

Answer

Absolute value inequality is $\left|x\right|>1$ 

Step 1 - Definition of absolute value inequality

For real numbers $a\text{ and }b$ with $b>0$ 

Absolute value inequality is $\left|a\right|<b$ when $-b<a\text{ and }a<b$, and

Absolute value inequality is $\left|a\right|>b$ when $a<-b\text{ or }a>b$ 

Step 2 - Observation from image

From image, solution is all real less than -1  or greater than 1

Step 3 - Write absolute value inequality

Let the real number be x 

As $x<-1\text{ or }x>1$ so from definition, absolute value inequality is 

$\left|x\right|>1$