8
QuizMultiple Choice

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Question 8 • AZ-Common Core Algebra II A

Which disjunction is always true for any real number x?

Answer
A
A number, x, is less than 0 or greater than 1.
B
A number, x, is less than 0 or greater than 0.
C
A number, x, is greater than 5 or less than 10.
D
A number, x, is greater than 5 or less than 1.

Explanation

For every real number x, either x is greater than 5 or x is less than 10. If x is not greater than 5, then x is at most 5, which means it is less than 10. So choice C is always true. For example, choice B fails at x = 0, which is neither less than nor greater than 0.

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