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 is less than x comma x is less than 68 , where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
Answer
A
x is greater than 64 or x is less than 68
B
x is less than 64 and x is less than 68
C
x is greater than 64 and x is less than 68
D
x is less than 64 or x is less than 68
Explanation
The inequality means that x must satisfy both conditions: it is greater than 64 and less than 68. In words, this is “x is greater than 64 and x is less than 68,” which is choice C. The word “or” would allow a height that meets only one condition, so choices using “or” do not describe the required range.
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