Chapter 3.4, Problem 15MCQ

To determine

The solution and graph of the inequality.

Answer to Problem 15MCQ

The solution is $d<-12$

Explanation of Solution

Given information:

  $-1.5d>18$

Calculation:

Consider the inequality,

  $-1.5d>18$

The inequality can be solved as follows:

-1.5 d>18 (Consider the original inequality)

Divide each side by $-\mathrm{1.5.}$ Reverse the inequality symbol

  $d<\frac{18}{-1.5}$

Simplify

  $d<-12$

Use the result, the inequality $d<-12$ means all real numbers $d$ that are less than -12. As -12 is not a solution, draw an open dot at -12.

The numbers less than -12 are to the left of -12 on the number line. Shade the left of -12.

Hence, the solution is $d<-12$

The graph of the inequality $d<-12$ is shown below: