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Which of the following expressions is defined for all integer values

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Bunuel
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Which of the following expressions is defined for all integer values [#permalink] New post   08 Sep 2021, 03:59
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Which of the following expressions is defined for all integer values of z, such that z^2 < 9 ?

I. \(\frac{z+1}{z}\)

II. \(\frac{z-4}{z^2-4z+4}\)

III. \(\frac{18}{z^2-4z-5}\)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III
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Showmeyaa
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Re: Which of the following expressions is defined for all integer values [#permalink] New post   08 Sep 2021, 14:00
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Bunuel wrote:
Which of the following expressions is defined for all integer values of z, such that z^2 < 9 ?

I. \(\frac{z+1}{z}\)

II. \(\frac{z-4}{z^2-4z+4}\)

III. \(\frac{18}{z^2-4z-5}\)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III


z^ < 9
|z| < 3
-3 < z < 3
1)For z = 0, equation is undefined
2)\(\frac{z-4}{(z-2)^2}\), For z = 2, equation is undefined.

3) \(\frac{18}{(z+1)(z-5)}\), For z = -1, equation is undefined.

IMO, (A)! - None!
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Re: Which of the following expressions is defined for all integer values [#permalink] New post   15 Sep 2021, 07:37
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Showmeyaa wrote:
Bunuel wrote:
Which of the following expressions is defined for all integer values of z, such that z^2 < 9 ?

I. \(\frac{z+1}{z}\)

II. \(\frac{z-4}{z^2-4z+4}\)

III. \(\frac{18}{z^2-4z-5}\)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III


z^ < 9
|z| < 3
-3 < z < 3
1)For z = 0, equation is undefined
2)\(\frac{z-4}{(z-2)^2}\), For z = 2, equation is undefined.

3) \(\frac{18}{(z+1)(z-5)}\), For z = -1, equation is undefined.

IMO, (A)! - None!


Hi Bunuel | chetan2u, could you kindly help me translate the above question? Not sure what is wrong with my solution!
TIA!
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IanStewart
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Re: Which of the following expressions is defined for all integer values [#permalink] New post   15 Sep 2021, 08:04
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Showmeyaa wrote:
Hi Bunuel | chetan2u, could you kindly help me translate the above question? Not sure what is wrong with my solution!
TIA!


Your solution is correct. There seems to be a problem with the OA (which is currently E, but should be A).
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Bunuel
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Re: Which of the following expressions is defined for all integer values [#permalink] New post   15 Sep 2021, 08:33
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IanStewart wrote:
Showmeyaa wrote:
Hi Bunuel | chetan2u, could you kindly help me translate the above question? Not sure what is wrong with my solution!
TIA!


Your solution is correct. There seems to be a problem with the OA (which is currently E, but should be A).

_________________________
Edited the OA. Thank you!
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Re: Which of the following expressions is defined for all integer values [#permalink] New post   26 Dec 2023, 09:51
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Re: Which of the following expressions is defined for all integer values [#permalink]
26 Dec 2023, 09:51
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