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If x is not equal to 1 and y = 1/x−1 , then which one of the
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02 Apr 2019, 06:00
02 Apr 2019, 06:00
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If x is not equal to 1 and \(y = \frac{1}{x−1}\), then which one of the following cannot be the value of y ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x is not equal to 1 and y = 1/x−1 , then which one of the
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03 Apr 2019, 07:16
03 Apr 2019, 07:16
2
Carcass wrote:
If x is not equal to 1 and \(y = \frac{1}{x−1}\), then which one of the following cannot be the value of y ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
We might first recognize that, if a/b = 0, then it MUST be the case that a = 0
ASIDE: Some students may believe that, if a/b = 0, then it could also be the case that b = 0. This, however, is not true.
A fraction with zero in the denominator is undefined (e.g., 3/0 is undefined), which means it does not evaluate to be an actual number.
Given all of this, we can see that \(\frac{1}{x−1}\) can never equal zero.
Answer: A
If you're not convinced, let's see what happens when y = 0
We get: \(0 = \frac{1}{x−1}\)
Multiply both sides by \((x-1)\) to get: \(0 = 1\)
This makes no sense!!
Answer: STILL A!
Cheers,
Brent
Re: If x is not equal to 1 and y = 1/x1 , then which one of the
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18 Aug 2022, 03:31
18 Aug 2022, 03:31
Hello from the GRE Prep Club BumpBot!
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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.
