Chapter 1.5, Problem 5CYU

To determine

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

Answer to Problem 5CYU

The solution is given by $w<2$ .

Explanation of Solution

Given information:

Given inequality

  $-4w-13>-21$

Calculation:

Consider the given inequality,

  $-4w-13>-21$

Now, solve the inequality as shown,

  $\begin{array}{c}-4w-13>-21\\ -4w-13+13>-21+13\\ -4w>-8\\ \frac{-4w}{-4}<\frac{-8}{-4}\\ w<2\end{array}$

Now, graph the inequality as shown:

The open ball suggests that the solution region is not included the point $2$ .

Lesser than sign indicates the region is left side to the point $2$ on number line.

Hence, the solution of the inequality is $w<2$ .