Chapter 1.5, Problem 2CYU

To determine

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

Answer to Problem 2CYU

The solution is given by $d<20$ .

Explanation of Solution

Given information:

Given inequality

  $12-d>-8$

Calculation:

Consider the given inequality,

  $12-d>-8$

Now, solve the inequality as shown,

  $\begin{array}{c}12-d>-8\\ 12-d-12>-8-12\\ -d>-20\\ d<20\end{array}$

Now, graph the inequality as shown:

The open ball suggests that the solution region is not included the point $20$ .

Lesser than sign indicates the region is left side to the point $20$ on number line.

Hence, the solution of the inequality is $d<20$ .