Q6. - Algebra 2

Question

Write an absolute value inequality for each graph

6. 

Step-by-Step Solution

Answer

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

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 or equal to $-4$ or greater than or equal to 4

Step 3 - 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  $\left|x\right|\ge 4$