If b<1 and 2x-b =0, which of the following must be true?
A)x>-1
B)x<-2
C)x=2
D)x<3
E)x>3
OA is D.Please explain your answer
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Value of x
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Got it from Kaplan.
My argument in this question is that b is given less than 1 i.e. b is negative or 0.
So for
,in 2x-b=0 x has to be negative for the equation to be 0.that means if b<0 as given x is also <0.
Th only option that proves this is B and hence i chose it.
As for the answer given we can clearly prove that for x=2 b=4; which proves the given b<0 wrong.
Please help me with this.
My argument in this question is that b is given less than 1 i.e. b is negative or 0.
So for
,in 2x-b=0 x has to be negative for the equation to be 0.that means if b<0 as given x is also <0.
Th only option that proves this is B and hence i chose it.
As for the answer given we can clearly prove that for x=2 b=4; which proves the given b<0 wrong.
Please help me with this.
-
umaa
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b<0: b could be 0.5, 0, -0.2, -10Mia09 wrote:If b<1 and 2x-b =0, which of the following must be true?
A)x>-1
B)x<-2
C)x=2
D)x<3
E)x>3
OA is D.Please explain your answer
Take the above values for b and substitute it in the above equation to get 2x and x value.
b 0.5 0 -0.2 -10
2x 0.5 0 -0.2 -10
x 0.25 0 -0.1 -5
In the above values, x value is below 0.25
A. x>-1 is wrong. x has a value of even -5
B. x<-2; Wrong; x has a value of 0.25.
C. x = 2; wrong; x has several values.
D. x<3; Correct. All the x values are below 3.
E. x>3; Wrong. All the x values are less than 3.
Hope it helps.
What we think, we become
What makes you think b is an integer? It could be 0.5. Then x doesn't have to be negative.Mia09 wrote:Got it from Kaplan.
My argument in this question is that b is given less than 1 i.e. b is negative or 0.
So for
,in 2x-b=0 x has to be negative for the equation to be 0.that means if b<0 as given x is also <0.
Th only option that proves this is B and hence i chose it.
As for the answer given we can clearly prove that for x=2 b=4; which proves the given b<0 wrong.
Please help me with this.
-
grockit_jake
- GMAT Instructor
- Posts: 80
- Joined: Wed Aug 12, 2009 8:49 pm
- Location: San Francisco, CA
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If b<1 and 2x-b =0, which of the following must be true?
A)x>-1
B)x<-2
C)x=2
D)x<3
E)x>3
First here, I would solve for x in terms of b. This reduces the amount of calculation you will have to do later.
x = b/2
If b<1, then x<1/2.
D) is the only answer that satisfies x < 1/2 completely.
A)x>-1
B)x<-2
C)x=2
D)x<3
E)x>3
First here, I would solve for x in terms of b. This reduces the amount of calculation you will have to do later.
x = b/2
If b<1, then x<1/2.
D) is the only answer that satisfies x < 1/2 completely.
