what is the equation for this - A student needs to study for a test and wants to ensure she studies at least 3 hours each day, but she can only study for a maximum of 5 hours per day due to other commitments.

Answer 1

To represent the student's study time constraints mathematically, we can use inequalities. Let \( x \) be the number of hours the student studies in a day. The constraints are as follows:

1. The student must study at least 3 hours each day: \[ x \geq 3 \]

2. The student can study a maximum of 5 hours each day: \[ x \leq 5 \]

Combining these inequalities, we can represent the student's study time with the following compound inequality: \[ 3 \leq x \leq 5 \]

This means that the student can study any amount of time from 3 to 5 hours each day, inclusive.