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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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Updated on: 22 Sep 2017, 10:21
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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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Last edited by Bunuel on 22 Sep 2017, 10:21, edited 1 time in total.
Renamed the topic.
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Re: Which of the following is NOT a possible value of 1/(4-X)  [#permalink]

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22 Sep 2017, 10:41
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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20 Feb 2019, 14:43
$$\frac{1}{4-X}= 0$$

$$1= 0$$ Can not be possible.

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

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Updated on: 20 Feb 2019, 15:44
niks18 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, 14:49.
Last edited by jfranciscocuencag on 20 Feb 2019, 15:44, 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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20 Feb 2019, 15:24
jfranciscocuencag wrote:
niks18 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.
Re: Which of the following is NOT a possible value of 1/(4-X)   [#permalink] 20 Feb 2019, 15:24