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 &lt; 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

The another way of writing inequality is x > 64 and x < 68

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As the actor has to be taller than 64 inches, and less than 68 inches.

and we use  greater than or less than signs and not greater than or equal to or less than or equal to show the inequality.

hence, x > 64 and x < 68.

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