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Which of the following is NOT a possible value of 1/(4-X)

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Which of the following is NOT a possible value of 1/(4-X)  [#permalink]

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New post Updated on: 22 Sep 2017, 11:21
1
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Which of the following is NOT a possible value of \(\frac{1}{4-X}\)

A -4
B 4/17
C 0
D 4
E 17/4

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Originally posted by SajjadAhmad on 22 Sep 2017, 11:19.
Last edited by Bunuel on 22 Sep 2017, 11:21, edited 1 time in total.
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Re: Which of the following is NOT a possible value of 1/(4-X)  [#permalink]

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New post 22 Sep 2017, 11:41
SajjadAhmad wrote:
Which of the following is NOT a possible value of \(\frac{1}{4-X}\)

A -4
B 4/17
C 0
D 4
E 17/4


The fraction cannot be \(0\) as numerator is \(1\). for any number to be \(0\) it has to be multiplied by \(0\)

Option C

Note if \(x=4\), then the fraction will have an undefined value but it will not be \(0\)
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Re: Which of the following is NOT a possible value of 1/(4-X)  [#permalink]

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New post 20 Feb 2019, 15:43
\(\frac{1}{4-X}= 0\)

\(1= 0\) Can not be possible.

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Which of the following is NOT a possible value of 1/(4-X)  [#permalink]

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New post Updated on: 20 Feb 2019, 16:44
niks18 wrote:
SajjadAhmad wrote:
Which of the following is NOT a possible value of \(\frac{1}{4-X}\)

A -4
B 4/17
C 0
D 4
E 17/4


The fraction cannot be \(0\) as numerator is \(1\). for any number to be \(0\) it has to be multiplied by \(0\)

Option C

Note if \(x=4\), then the fraction will have an undefined value but it will not be \(0\)


Hello niks18 !

I have one question related to your explanation, maybe I am doing something wrong.

Could you please clarify to me if it is okay to solve "D" like the following?

\(\frac{1}{4-x}\)

\(\frac{1}{4-x}=4\)

\(1= 4(4-x)\)

\(1= (16 - 4x)\)

\(\frac{15}{4}=x\)

Kind regards!

Thank you niks18

Originally posted by jfranciscocuencag on 20 Feb 2019, 15:49.
Last edited by jfranciscocuencag on 20 Feb 2019, 16:44, edited 1 time in total.
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Re: Which of the following is NOT a possible value of 1/(4-X)  [#permalink]

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New post 20 Feb 2019, 16:24
jfranciscocuencag wrote:
niks18 wrote:
SajjadAhmad wrote:
Which of the following is NOT a possible value of \(\frac{1}{4-X}\)

A -4
B 4/17
C 0
D 4
E 17/4


The fraction cannot be \(0\) as numerator is \(1\). for any number to be \(0\) it has to be multiplied by \(0\)

Option C

Note if \(x=4\), then the fraction will have an undefined value but it will not be \(0\)


Hello niks18 !

I have one question related to your explanation, maybe I am doing something wrong.

Could you please clarify to me if it is okay to solve "D" like the following?

\(\frac{1}{4-x}\)

\(\frac{1}{4-x}=4\)

\(1= 4(4-x)\)

\(1= (16 - 4x)\)

\(\frac{15}{4}=x\)

Kind regards!


Hi jfranciscocuencag

The question asks us to find which CANNOT be the value of the expression.

Note that the expression is a "Fraction" whose numerator is \(1\), hence it will have "some value"

Obviously the fraction cannot be equal to \(0\)

What you are doing is simply finding the value of \(x\) and for that value the fraction will yield a particular case. in your example the fraction will be equal to \(4\) if \(x=\frac{15}{4}\)
You are not asked to find the value of x but asked to identify a value that is NOT possible for the expression.
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Re: Which of the following is NOT a possible value of 1/(4-X)   [#permalink] 20 Feb 2019, 16:24
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Which of the following is NOT a possible value of 1/(4-X)

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