which is a counterexample for the conditional statement shown? if the numerator of a fraction is larger than…

Explanation:

Step1: Analyze the conditional statement

The statement is: If numerator > denominator, then fraction > 1.

Step2: Check each option

• Option 1: Fractions with denominator 0 are undefined, not counter - examples.
• Option 2: Fractions with numerator 0 are less than or equal to 0, not relevant as numerator is not greater than denominator.
• Option 3: Consider a fraction $\frac{a}{b}$ where $a>0$ and $b < 0$. Then $\frac{a}{b}<0$. For example, $\frac{3}{-1}=-3$. Here numerator 3 > denominator - 1, but the fraction is less than 1, so it's a counter - example.
• Option 4: For a fraction $\frac{a}{b}$ with $a < 0$ and $b>0$, the fraction is negative and numerator is not greater than denominator.

Answer:

C. any fraction with a positive numerator and a negative denominator