Q10. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

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

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 $\left|a\right|\ge 5$. 

Step 2 &ndash; 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:

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

Step 3 &ndash; Graph of the solution set

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