Question

1. seth earns $7 per hour working at the library. write and solve an inequality that can be used to find how many hours he must work in a week to earn at least $175.

Explanation:

Step1: Define variable

Let \( h \) be the number of hours Seth works.

Step2: Set up inequality

His earnings per hour is \$7, so total earnings is LXI0. He needs to earn at least \$175, so \( 7h \geq 175 \).

Step3: Solve inequality

Divide both sides by 7: \( \frac{7h}{7} \geq \frac{175}{7} \), so \( h \geq 25 \).

Answer:

The inequality is \( 7h \geq 175 \) and the solution is \( h \geq 25 \), meaning Seth must work at least 25 hours.