16
QuizMultiple Choice

Unit Test — Unit test

Question 16 • *Learning Curve Geometry A-26

Which is a counterexample for the conditional statement shown?If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.

Answer
A
any fraction with a denominator of 0
B
any fraction with a numerator of 0
C
any fraction with a positive numerator and a negative denominator
D
any fraction with a negative numerator and a positive denominator

Explanation

A counterexample must have a numerator larger than its denominator, while the fraction is not greater than 1. In choice C, a positive numerator is larger than a negative denominator, but dividing a positive number by a negative number gives a negative fraction, which is not greater than 1. For example, 1/−1 = −1.

AI-written and checked against the verified answer.

Previous
Next