9
QuizMultiple Choice

Compound Statements — Quiz

Question 9 • MASTER COURSE Geometry

Which disjunction is always true for any real number x ?

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

Explanation

For any real number x, either x is greater than 5 or x is less than 10. Numbers between 5 and 10 satisfy both parts, while numbers at or below 5 are less than 10, and numbers at or above 10 are greater than 5. Choice B, “greater than 5 or less than 10,” is therefore always true.

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