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If x = -|w|, which of the following must be true

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Senior Manager
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If x = -|w|, which of the following must be true  [#permalink]

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New post 17 Jul 2018, 19:01
Bunuel,
I couldn't understand OG explanation. Alternatively, if (x, w) is equal to either of the pairs (−1,1) or (−1,−1), then x = −|w| is true. However, each of the answer choices except x2 = w2 is false for at least one of these two pairs.

Could you explain me.

Thanks

adkikani , please try out this one
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Re: If x = -|w|, which of the following must be true  [#permalink]

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New post 17 Jul 2018, 19:08
1
Thanks ammuseeru , I think am better at single modulus ;)

My approach coincided with OptimusPrepJanielle
Did you care to took x or w as negatives or fractions even if nothing
was mentioned about them in questions stem?

Spoiler: ::
I honestly at time have a disliking for OG sol since at time they are crappy (you may find tons
of issues on verbal forums), I would rather validate my approach
on forums than spending time to understand them.

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Re: If x = -|w|, which of the following must be true  [#permalink]

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New post 18 Dec 2018, 18:47
i just cannot seem to understand the rule of absolutes and always get these questions wrong. Just for absolutes, can someone recommend good studying source?
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Re: If x = -|w|, which of the following must be true  [#permalink]

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New post 18 Dec 2018, 21:16
anum23 wrote:
i just cannot seem to understand the rule of absolutes and always get these questions wrong. Just for absolutes, can someone recommend good studying source?


10. Absolute Value



For more check Ultimate GMAT Quantitative Megathread


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Re: If x = -|w|, which of the following must be true  [#permalink]

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New post 13 Sep 2019, 22:05
nalinnair wrote:
If \(x = –|w|\), which of the following must be true?

A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)


Given: \(x = –|w|\)

Asked: Which of the following must be true?

\(x = –|w|\)
Taking square of both sides
\(x^2 = w^2\)

IMO D
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Re: If x = -|w|, which of the following must be true  [#permalink]

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New post 10 Jan 2020, 04:30
nalinnair wrote:
If \(x = –|w|\), which of the following must be true?

A. \(x = –w\)
B. \(x = w\)
C. \(x^2 = w\)
D. \(x^2 = w^2\)
E. \(x^3 = w^3\)

w =-4 x=-4 X^2 =W^2 i.e 16
so D
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Re: If x = -|w|, which of the following must be true   [#permalink] 10 Jan 2020, 04:30
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