Chapter 8.7, Problem 53IP

To determine

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

Answer to Problem 53IP

  $28\ge 7·x$; The number is at most 4.

Explanation of Solution

Given:

28 is at least the product of 7 and a number.

Concept Used:

Translate the sentence into an inequality.

28 is at least the product of 7 and a number.

Let the number be x

For the term at least, the inequality sign: $\ge$

The inequality: $28\ge 7·x$

Calculation:

Let the number be x

The inequality: $28\ge 7·x$

  $\begin{array}{l}28\ge 7·x\\ \frac{28}{7}\ge \frac{7·x}{7}\text{[}\text{Divide}\text{both}\text{sides}\text{by}7\text{]}\\ 4\ge x\end{array}$

Thus, the number is at most 4.