Question

Please answer this and explain it because my teacher can’t explain it well and it’s very confusing.

My elephant eats between 330 and 375 pounds of food each day.
Write an "AND" compound inequality two different ways to represent the
amount of food the elephant eats in a day.

Answer 1

An "AND" compound inequality that can be written to represent the amount of food the elephant eats in a day is as follows:

1) 330 ≤ F ≤ 375 or

2) F ≥ 330 AND F ≤ 375

A compound inequality is mathematically defined as two or more inequalities joined together with "or" or "and."

An “AND” compound inequality is used when we want to represent a range of values that satisfy two conditions simultaneously.

The quantity of food the elephant eats per day ≥ 330 pounds

The quantity of food the elephant eats per day ≤ 375 pounds

In this case, the amount of food the elephant eats in a day is between 330 and 375 pounds. The two equivalent ways to represent this reality are:

330 ≤ F ≤ 375

F ≥ 330 AND F ≤ 375

Where F represents the amount of food the elephant eats in a day.