Chapter 8.7, Problem 51IP

To determine

Write an inequality to represent the situation and solve the inequality.

Answer to Problem 51IP

  $x-15\le -8$; The number is no more than 7.

Explanation of Solution

Given:

The difference of a number and 15 is no more than − 8.

Concept Used:

Translate the sentence into an inequality.

The difference of a number and 15 is no more than − 8.

Let the number be x

For the term no more than, the inequality sign: $\le$

The inequality: $x-15\le -8$

Calculation:

Let the number be x

The inequality: $x-15\le -8$

  $\begin{array}{l}x-15\le -8\\ x-15+15\le -8+15\text{[}\text{Add}15\text{to}\text{both}\text{sides}\text{]}\\ x\le 7\end{array}$

Thus, the number is no more than 7.