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# M61-21

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42
GPA: 3.82

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18 Jun 2018, 05:20
00:00

Difficulty:

45% (medium)

Question Stats:

70% (01:56) correct 30% (01:19) wrong based on 10 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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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7612 GMAT 1: 760 Q51 V42 GPA: 3.82 Re M61-21 [#permalink] ### Show Tags 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Joined: 16 Mar 2018
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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
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42
GPA: 3.82

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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.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only \$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
M61-21   [#permalink] 05 Aug 2018, 23:00
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# M61-21

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