Chapter 13.9, Problem 48SR

To determine

To calculate: To find the inequality and then graph the solution on number line

Answer to Problem 48SR

Solution of inequality is $m\ge -5$

Explanation of Solution

Given information: Inequality is $-6m-12\le 18$

Calculation:

Inequality is given as

  $-6m-12\le 18$

On solving the above inequality,

  $\begin{array}{l}-6m\le 18+12\\ -6m\le 30\\ -m\le \frac{30}{6}\\ -m\le 5\\ m\ge -5\end{array}$

Now, graph the solution on number line,

  

Red line shows the solution, Solid circle means that point $-5$ is included in solution

Conclusion:

Hence, on solving the inequality, $m\ge -5$