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Multiple Values
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31 Jul 2019, 03:18
31 Jul 2019, 03:18
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75% (01:17) correct
24% (00:59) wrong based on 45 sessions
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If a + b > 0 and b – c < 0, which of the following statements must be true?
Indicate all that apply.
A. a + c > 0
B. c > a
C. b > 0
Indicate all that apply.
A. a + c > 0
B. c > a
C. b > 0
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Multiple Values
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02 Aug 2019, 12:02
02 Aug 2019, 12:02
Kaxy wrote:
If a + b > 0 and b – c < 0, which of the following statements must be true?
Indicate all that apply.
A. a + c > 0
B. c > a
C. b > 0
Indicate all that apply.
A. a + c > 0
B. c > a
C. b > 0
GIVEN:
a + b > 0
b – c < 0
Take bottom inequality and subtract b from both sides to get:
a + b > 0
–c < -b
Rewrite top inequality as follows:
0 < a + b
–c < -b
Since both inequality signs are facing the SAME direction, we can ADD the inequalities to get: -c < a
Now add c to both sides to get: 0 < a + c
Check the answer choices.... A is true
Okay, let's test the remaining answer choices...
B. c > a (must this be true??)
If a + b > 0 and b – c < 0, then it COULD be the case that a = 10, b = -2 and c = 7
In this case, it is NOT true that c > a
So, statement B need not be true
C. b > 0 (must this be true??)
Before we waste time testing a new set of questions, notice that we can RE-USE the values we used before.
That is, it COULD be the case that a = 10, b = -2 and c = 7
In this case, it is NOT true that b > 0
So, statement C need not be true
Answer: A
Re: Multiple Values
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11 Dec 2024, 09:32
11 Dec 2024, 09:32
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
