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# If |(x – 3)^2+2|<|x – 7| , which of the following expresses the

Author Message
Manager
Joined: 07 Aug 2018
Posts: 75
Location: Croatia (Hrvatska)
GMAT 1: 560 Q39 V28
If |(x – 3)^2+2|<|x – 7| , which of the following expresses the  [#permalink]

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14 Sep 2018, 07:13
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:24) correct 33% (02:32) wrong based on 6 sessions

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If $$|(x–3)^2+2|<|x – 7|$$ , which of the following expresses the allowable range for x?

(A) 1<x<4

(B) 1<x<7

(C) –1<x<4 and 7<x

(D) x<–1 and 4<x<7

(E) –7<x<4 and 7<x

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Manager
Joined: 07 Aug 2018
Posts: 75
Location: Croatia (Hrvatska)
GMAT 1: 560 Q39 V28
Re: If |(x – 3)^2+2|<|x – 7| , which of the following expresses the  [#permalink]

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14 Sep 2018, 07:16
I tested the minimum values of the answer choices and could quickly eliminate C,D and E.

Then I tested the maximum values of A and B. Leaving me with A

What other fast ways are there?
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Math Expert
Joined: 02 Sep 2009
Posts: 50613
Re: If |(x – 3)^2+2|<|x – 7| , which of the following expresses the  [#permalink]

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14 Sep 2018, 07:38
1
T1101 wrote:
If $$|(x–3)^2+2|<|x – 7|$$ , which of the following expresses the allowable range for x?

(A) 1<x<4

(B) 1<x<7

(C) –1<x<4 and 7<x

(D) x<–1 and 4<x<7

(E) –7<x<4 and 7<x

Discussed here: https://gmatclub.com/forum/if-x-3-2-2-x ... 29591.html Hope it helps.
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Re: If |(x – 3)^2+2|<|x – 7| , which of the following expresses the &nbs [#permalink] 14 Sep 2018, 07:38
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