Chapter 0, Problem 53PR

To determine

To find: the inequality that has the solution set in given graph.

Answer to Problem 53PR

The inequality is $5-2x>9\text{ or }3x+4\ge 1$ . Option C is correct.

Explanation of Solution

Given information:

Consider

  

Calculation:

The solution of the given graph is $x<-2\text{ or }x\ge -1$

Consider $5-2x>9\text{ or }3x+4\ge 1$

  $\begin{array}{l}5-2x>9\text{ or }3x+4\ge 1\\ -2x>4\text{ or }3x\ge -3\\ -x>2\text{ or }x\ge -1\\ x<-2\text{ or }x\ge -1\end{array}$

Hence, the inequality is $5-2x>9\text{ or }3x+4\ge 1$ . Option C is correct.