Question

Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

A. 20 > x > 50

B. 20 ≤ x ≤ 50

C. 20 ≥ x ≥ 50

D. 20 < x < 50

Answer 1

The correct answer is b. Hope that helps!

Answer 2

B. 20 ≤ x ≤ 50

Explanation:

If the maximum speed is 50 miles per hour, that means it cannot go above 50 miles per hour, it has to be 50 miles per hour or less, which is expressed like this

`x\leq 50`

Now, if the minimum speed is 20 miles per hour, that means the speed can only be 20 miles per hour or more, that's represented as

`x\geq 20`

If we unit both expression, we would have the following compound inequality

`20\leq x\leq 50`

This means that the speed has to be 20 miles per hour or more, but 50 miles per hour or less.

Therefore, the right answer is