Question

Solve each inequality. Graph the solution set on a number line.

$\left|a\right|\ge 5$.

Short answer

The solution of inequalities is $a>5ora<-5$.

Step-by-step solution

Step 1-Write the inequalities 

A For all real numbers a, b and $b>0$; it is true that if $\left|a\right|\ge b$then $a>b$or $a<-b$. The inequality is $\left|a\right|\ge 5$.

– Apply the definition of an absolute compound inequality

Use the definition of absolute value inequality and write the compound inequality with word or as follows:

$\begin{array}{l}\left|a\right|\ge 5\\ a>5ora<-5\end{array}$

– Graph of the solution set 

The graph for the inequalities $a>5ora<-5$is as shown below