BTGModeratorVI wrote: ↑Fri Apr 03, 2020 9:39 am
Is 0.4 < x < 0.8 ?
(1) 407x < 376
(2) 1400x > 1240
Answer:
B
Source: Veritas Prep
Target question: Is 0.4 < x < 0.8?
Statement 1: 407x < 376
Divide both sides of the inequality by 407 to get: x < 376/407
Convert to a decimal to get: x < 0.92
There are several values of x that satisfy statement 1. Here are two:
Case a: x = 0.6. In this case, the answer to the target question is
YES, x IS between 0.4 and 0.8
Case b: x = 0.1. In this case, the answer to the target question is
NO, x is NOT between 0.4 and 0.8
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 1400x > 1240
Divide both sides of the inequality by 1400 to get: x > 1240/1400
Simplify to get: x > 124/140
Simplify more: x > 31/35
Convert to decimal: x > 0.88
If x > 0.88, there are
NO VALUES of x such that 0.4 < x < 0.8
In other words, the answer to the target question is
NO, x is definitely NOT between 0.4 and 0.8
Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
