Question

1. da’quan is reading a 532-page book for english. his teacher says that each student must have read at least half of the book by the end of the 1st week. if da’quan reads each of the 7 nights, write and solve an inequality to represent the number of pages he should read each night to meet the teacher’s requirements.

Explanation:

Step1: Define variable and inequality

Let \( x \) be the number of pages read each night. In 7 nights, total pages read is \( 7x \). Half of 532 pages is \( \frac{532}{2} = 266 \). The inequality is \( 7x \geq 266 \).

Step2: Solve the inequality

Divide both sides by 7: \( x \geq \frac{266}{7} \). Calculate \( \frac{266}{7}=38 \).

Answer:

The inequality is \( 7x \geq 266 \) and the solution is \( x \geq 38 \), meaning Da'Quan should read at least 38 pages each night.