Question

Write an absolute value inequality for each graph

6.

Short answer

Absolute value inequality is $\left|x\right|\ge 4$

Step-by-step solution

- 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$a<-b\text{or}a>b$

- Observation from image

From image, solution is all real less than or equal to $-4$ or greater than or equal to 4

- Write absolute value inequality

Let the real number be$x$

As $x\le -4\text{or}x\ge 4$so from definition, absolute value inequality is $\left|x\right|\ge 4$