BTGModeratorVI wrote: ↑Mon Dec 28, 2020 8:33 am
If a and b are negative numbers, is b > a ?
(1) a/b > 1
(2) b/a < 1
Answer:
D
Source: official guide
Given: a and b are NEGATIVE numbers
IMPORTANT CONCEPT: If we divide both sides of an inequality by a NEGATIVE value, we must REVERSE the direction of the inequality sign.
Target question: Is b > a ?
Statement 1: a/b > 1
Multiply both sides of the inequality by b to get: a < b (notice that we REVERSED the direction of the inequality sign)
The answer to the target question is
YES, it is true that b > a
Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: b/a < 1
Multiply both sides of the inequality by a to get: b > a (notice that we REVERSED the direction of the inequality sign)
The answer to the target question is
YES, it is true that b > a
Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
