Question

x is less than 1 is the solution to which of the following compound inequalities? A) x is less than 4 AND x is less than 1 B) x is greater than 3 OR x is less than 1 C) x is greater than 3 AND x is less than 1 D) x is less than 4 OR x is less than one

Answer 1

9514 1404 393

Answer:

A) x is less than 4 AND x is less than 1

Explanation:

It's all about understanding the meaning of the English words involved.

A) any member of the solution set must be less than 1 and less than 4. Only numbers less than 1 can satisfy both requirements. (This is the correct choice.)

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B) members of the solution set may be less than 1 or may be greater than 3. Numbers less than 1 are part of the solution set, but not all of it.

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C) members of the solution set are required to be both greater than 3 and less than 1. There are no such numbers. The solution set is the empty set.

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D) members of the solution set may be less than 4 or less than 1. Any number less than 4 will be a member of the solution set.