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M61-21

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Math Revolution GMAT Instructor
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M61-21  [#permalink]

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New post 18 Jun 2018, 05:20
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

71% (01:41) correct 29% (01:25) wrong based on 7 sessions

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How many values of \(x\) satisfy the equation \(||x-7|-9|=11\)?


A. 1
B. 2
C. 3
D. 4
E. 5

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Math Revolution GMAT Instructor
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Re M61-21  [#permalink]

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New post 18 Jun 2018, 05:20
Official Solution:


How many values of \(x\) satisfy the equation \(||x-7|-9|=11\)?


A. 1
B. 2
C. 3
D. 4
E. 5


\(||x-7|-9| = 11\)

\(|x-7|-9 = ±11\)

\(|x-7| = 9 ±11\)

\(|x-7| = 20\) or \(|x-7| = -2\)

\(|x-7| = 20\) since \(|x-7| ≥ 0\)

\(x-7 = ±20\)

\(x = 7±20\)

\(x = 27\) or \(x = -13\)


Answer: B
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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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Re: M61-21  [#permalink]

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New post 01 Aug 2018, 07:55
Why does /x-7/=20 have to be > than or equal to zero?

/ symbol = absolute value sign.
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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M61-21  [#permalink]

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New post 05 Aug 2018, 23:00
Paugustin90 wrote:
Why does /x-7/=20 have to be > than or equal to zero?

/ symbol = absolute value sign.


Absolute values are always greater than or equal to zero, since they are not negative.
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M61-21 &nbs [#permalink] 05 Aug 2018, 23:00
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