a < 0 < b

Quantity A	Quantity B
ab	a+b

Explanation

Plug in values for a and b. If a = −2 and b = 2, then Quantity B is greater. Eliminate choices A and C. If \(\frac{1}{2}\) and b = \(\frac{1}{4}\), then Quantity A is greater. Eliminate choice B.

Hence option D is correct.

please add the minus before 1/2 or revise it not to create confusion

correct: D
a < 0 < b
[b]for comparing ab and a+b we can't do any simplifications.
we know a is negative and b is positive.Thus, ab is always a negative value. but depending on the value of a and b, a+b can be either positive or negative.
if |a| > |b| : ab is always negative and a+b is negative, so A > B
if |a| <|b| : ab is always negative and a+b is positive, so A < B
if |a| = |b| : ab is always negative and a+b equals zero, so A < B
so based on the relationship between a and b and information, we can't figure out which one is less or more.
the correct answer is D.[/b]

Hi,

Fatima, refering to the highlighted part. I think we can simplify QTY A & B since B>0. We can divide b on both sides. It's a quesiton. I simplified it to get the answer b.

if |a| > |b| : ab is always negative and a+b is negative, so A > B
if |a| <|b| : ab is always negative and a+b is positive, so A < B
if |a| = |b| : ab is always negative and a+b equals zero, so A < B

rx10 GreenlightTestPrep KarunMendiratta sir, Is this always hold true?