57
QuizMultiple Choice

Introduction to Compound Inequalities — Unit test

Question 57 • MOHEGAN - ALGEBRA 1A

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
A
x > 64 and x < 68
B
x > 64 or x < 68
C
x < 64 and x < 68
D
x < 64 or x < 68

Explanation

The inequality 64 < x < 68 means x is greater than 64 and less than 68 at the same time. This is written as x > 64 and x < 68, which is choice A. Using “or” would allow values that satisfy only one condition, including heights outside the required range.

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