We can also solve this question using matching operations

Given:
Quantity A: 1/x + 1/x
Quantity B: (1/x)(1/x)

Simplify both quantities:
Quantity A: 2/x
Quantity B: 1/x²

Since we can be certain that x² is POSITIVE, we can safely multiply both quantities by x² to get:
Quantity A: 2x²/x
Quantity B: 1

Simplify:
Quantity A: 2x
Quantity B: 1

For "kicks," let's totally simplify the question by dividing both quantities by 2 to get:
Quantity A: x
Quantity B: 1/2

Since there are no restrictions on x (other than x ≠ 0), we can see that:
x COULD equal 1/2 in which case the quantities are EQUAL
x COULD equal 1 in which case Quantity A is GREATER
x COULD equal -1 in which case Quantity B is GREATER

Answer: D

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Please fix
Qty A = \(\frac{1}{x} + \frac{1}{x}= \frac{2}{x}\)

As we do not know about x, positive or negative, can we write 2x²/x = 2x

That works too!

Cheers,
Brent

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