Chapter 1, Problem 39SGR

To determine

To solve: the given inequality and graph the solution on number line.

Answer to Problem 39SGR

The solution is given by $a\ge -6$ .

Explanation of Solution

Given information:

Given inequality

  $-4a\le 24$

Calculation:

Consider the given inequality,

  $-4a\le 24$

Now, solve the inequality as shown,

  $\begin{array}{c}-4a\le 24\\ 4a\ge -24\\ \frac{4a}{4}\ge -\frac{24}{4}\\ a\ge -6\end{array}$

Now, graph the inequality as shown:

  

The closed ball suggests that the solution region is included the point $-6$ .

Greater than sign indicates the solution region is right side to the point $-6$ on number line.

Hence, the solution of the inequality is $a\ge -6$ .