Question

A doctor recommends that a person with high blood pressure should exercise from 2 to 4 hours a week. Create an inequality to show how many hours per day a person should exercise if they only want to exercise 5 days out of the week. Solve the inequality by showing and explaining each of your steps. Explain your answer.

a 2 ≤ x / 5 ≤ 4
b 10 ≤ x ≤ 20
c 0.4 ≤ x ≤ 0.8
d 1 ≤ x ≤ 2

Answer 1

The correct inequality representation is 0.4 ≤ x ≤ 0.8.

Step-by-step explanation:

To create an inequality showing how many hours per day a person should exercise if they only want to exercise 5 days out of the week, we need to consider the recommendation of exercising 2 to 4 hours a week. To convert this into a daily exercise requirement, we divide the weekly exercise time by 5 (the number of days they want to exercise) to get the daily exercise requirement.

The inequality would be: 2 \div 5 \leq x \div 5 \leq 4 \div 5

Simplifying the inequality, we get: 0.4 \leq x \leq 0.8

Therefore, the correct inequality representation is 0.4 \leq x \leq 0.8.