Chapter 3.5, Problem 57E

To determine

To solve the inequality $x-26\le 33$ and graph the solution

Answer to Problem 57E

  $x\le 59$

Explanation of Solution

Given:

Inequality: $x-26\le 33$

Calculation:

Consider given inequality $x-26\le 33$ ,

  $\begin{array}{c}x-26\le 33\\ x-26+26\le 33+26\text{ [}\because \text{Adding 26 on both sides]}\\ x\le 59\text{ [}\because \text{Simplify]}\end{array}$

Graph:

Using graphing calculator to draw the above inequality,

  

Interpretation:

The above graph represents the inequality $x\le 59$ .

Therefore, $x\le 59$ is the required solution.