Question

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answer 1

X > 64 AND X < 68
X must be larger than 64 AND smaller than 68

Answer 2

x>64 and x<68

Explanation:

Given :

An actor must be taller than 64 inches but shorter than 68 inches.

The inequality 64 < x < 68, where x represents height, can be used to represent the height range.

To Find: Which is another way of writing the inequality?

Solution:

We are given that An actor must be taller than 64 inches but shorter than 68 inches.

So, the actor must be taller than 64 inches and shorter than 68 inches i.e. x>64 and x<68

So, option 1 is correct.

The another way of writing the inequality 64 < x < 68, where x represents height, can be used to represent the height range is x>64 and x<68