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?

Answer 1

It can be written 68 > x > 64.

Answer 2

`x \epsilon (64,68)`

Explanation:

Given that 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.

This can also be written in interval form without including end values.

i.e. open brackets will be used to denote intervals.

`x \epsilon (64,68)`