Chapter 8, Problem 40CR

To determine

Whether each inequality is true or false

Answer to Problem 40CR

The inequality: $10\ge 12$ is false

Explanation of Solution

Given:

The inequality: $3m+4\ge 12,m=2$

Concept Used:

• If there is the strict inequality symbol $<\text{ or}>$ , then use a parenthesis $\left(\right)$ on the interval
• If there is the inequality symbol $\le \text{ or}\ge$ , then use a bracket $\left[\right]$ on the interval

Calculation:

In order to find that the given enquality $3m+4\ge 12,m=2$ is true or false put the value $m=2$ in enquality as below:

  $\begin{array}{l}3m+4\ge 12,m=2\\ 3\left(2\right)+4\ge 12\\ 6+4\ge 12\\ 10\ge 12\end{array}$

Thus, the inequality: $10\ge 12$ is false