Chapter 1.5, Problem 13PPS

To determine

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

Answer to Problem 13PPS

The solution is given by $t\le 0.5$ .

Explanation of Solution

Given information:

Given inequality

  $-12t\ge -6$

Calculation:

Consider the given inequality,

  $-12t\ge -6$

Now, solve the inequality as shown,

  $\begin{array}{c}-12t\ge -6\\ \frac{-12t}{-12}\le \frac{-6}{-12}\\ t\le \frac{1}{2}\\ t\le 0.5\end{array}$

Now, graph the inequality as shown:

  

The closed ball suggests that the solution region is included the point $0.5$ .

Lesser than sign indicates the region is left side to the point $0.5$ on number line.

Hence, the solution of the inequality is $t\le 0.5$ .