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

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Senior Manager
Joined: 17 Mar 2014
Posts: 426
If x = -|w|, which of the following must be true  [#permalink]

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17 Jul 2018, 20:01
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

IIMA, IIMC School Moderator
Joined: 04 Sep 2016
Posts: 1370
Location: India
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Re: If x = -|w|, which of the following must be true  [#permalink]

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17 Jul 2018, 20:08
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?

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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Joined: 19 May 2016
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Re: If x = -|w|, which of the following must be true  [#permalink]

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18 Dec 2018, 19:47
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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Joined: 02 Sep 2009
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Re: If x = -|w|, which of the following must be true  [#permalink]

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18 Dec 2018, 22:16
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Joined: 03 Jun 2019
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Location: India
Re: If x = -|w|, which of the following must be true  [#permalink]

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13 Sep 2019, 23:05
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
Re: If x = -|w|, which of the following must be true   [#permalink] 13 Sep 2019, 23:05

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