If ax+b=0 is x>0?
1) a+b>0
2) a-b > 0
OA E
Source GMATPrep
If ax+b=0 is x>0?
This topic has expert replies
- neelgandham
- Community Manager
- Posts: 1060
- Joined: Fri May 13, 2011 6:46 am
- Location: Utrecht, The Netherlands
- Thanked: 318 times
- Followed by:52 members
If ax+b=0 Is x>0?
From the question, x = -b/a. So the question can be rephrased to
Is -b/a>0?
Let the value of a be 7 and the value of b be 3. Then the value of a+b = 10>0 and the value of -b/a = -3/7 < 0.
Since there are two different answers to the question, statement 1 is insufficient to answer the question.
Let the value of a be 7 and the value of b be 3. Then the value of a-b = 4>0 and the value of -b/a = -3/7 < 0.
Since there are two different answers to the question, statement 2 is insufficient to answer the question.
Let the value of a be 7 and the value of b be 3. Then the value of a-b = 4>0, the value of a+b=10>0 and and the value of -b/a = -3/7 < 0.
Since there are two different answers for the question, statement 1+2 combined is insufficient to answer the question.
Hence the correct answer choice is E
From the question, x = -b/a. So the question can be rephrased to
Is -b/a>0?
Let the value of a be 7 and the value of b be -3. Then the value of a+b = 4>0 and the value of -b/a = 3/7 > 0.1) a+b>0
Let the value of a be 7 and the value of b be 3. Then the value of a+b = 10>0 and the value of -b/a = -3/7 < 0.
Since there are two different answers to the question, statement 1 is insufficient to answer the question.
Let the value of a be 7 and the value of b be -3. Then the value of a-b = 10>0 and the value of -b/a = 3/7 > 0.2) a-b > 0
Let the value of a be 7 and the value of b be 3. Then the value of a-b = 4>0 and the value of -b/a = -3/7 < 0.
Since there are two different answers to the question, statement 2 is insufficient to answer the question.
Let the value of a be 7 and the value of b be -3. Then the value of a-b = 10>0, the value of a+b=4>0 and the value of -b/a = 3/7 > 0.Statement 1 + 2
Let the value of a be 7 and the value of b be 3. Then the value of a-b = 4>0, the value of a+b=10>0 and and the value of -b/a = -3/7 < 0.
Since there are two different answers for the question, statement 1+2 combined is insufficient to answer the question.
Hence the correct answer choice is E
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
-
- Master | Next Rank: 500 Posts
- Posts: 114
- Joined: Mon Jun 13, 2011 9:10 am
- Thanked: 1 times
Alternate way:
Statement 1: a+b>0, which means a-ax>0, which means a(1-x)>0, which means (1-x)>0 and (1-x)<0 both are possible, since we dont know about "a" INSUFFECIENT
Statement 2: a-b>0, whcih means a+ax>0, which means a(1+x)>0, which means (1+x)>0 and (1+x)<0 both are possible. since we dont know about "a"INSUFFECIENT
Combined: (a-ax+a+ax)>0, which means a>0, still we get -1<x<1. Hence not suffecient
Statement 1: a+b>0, which means a-ax>0, which means a(1-x)>0, which means (1-x)>0 and (1-x)<0 both are possible, since we dont know about "a" INSUFFECIENT
Statement 2: a-b>0, whcih means a+ax>0, which means a(1+x)>0, which means (1+x)>0 and (1+x)<0 both are possible. since we dont know about "a"INSUFFECIENT
Combined: (a-ax+a+ax)>0, which means a>0, still we get -1<x<1. Hence not suffecient