Chapter 3.5, Problem 34E

To determine

To write : The verbal sentence “A number divided by 2 is no more than 5” as an inequality and solve the inequality.

Answer to Problem 34E

The verbal sentence “A number divided by 2 is no more than 5”is represented as $\frac{x}{2}\le \text{5}$ . The solved inequality has the value $x\ge 10$ .

Explanation of Solution

Given information :

Consider the information provided in the question.

Let the number be $x$

  $\begin{array}{l}\frac{x}{2}\le \text{5 Original inequality}\\ \text{2}\text{.}\frac{x}{2}\ge 5.2\text{ Multiply each side by 2}\\ \text{ Reverse the inequality}\\ x\ge 10\text{ Simplify}\text{.}\end{array}$

The solved inequality has the value $x\ge 10$ .