KEY CONCEPT: If we SQUARE positive or negative numbers, the outcome will always be POSITIVE.
For example, 5² = 25 and (-5)² = 25

So, let's test some possible values of a and b

Case i: a = 1 and b = -1
We get:
QUANTITY A: \(\frac{1}{a^2}=\frac{1}{1^2}=\frac{1}{1}=1\)

QUANTITY B: \(\frac{1}{b^2}=\frac{1}{(-1)^2}=\frac{1}{1}=1\)

In this case, the two quantities are equal


Case ii: a = 1 and b = -2
We get:
QUANTITY A: \(\frac{1}{a^2}=\frac{1}{1^2}=\frac{1}{1}=1\)

QUANTITY B: \(\frac{1}{b^2}=\frac{1}{(-2)^2}=\frac{1}{4}\)

In this case, Quantity A is greater

Answer: D

Cheers,
Brent