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If |2z| – 1 ≥ 2, which of the following graphs could be a number line

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Math Expert
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Joined: 02 Sep 2009
Posts: 58464
If |2z| – 1 ≥ 2, which of the following graphs could be a number line  [#permalink]

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New post 09 May 2018, 00:43
1
6
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:19) correct 27% (01:17) wrong based on 486 sessions

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Intern
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Joined: 12 Feb 2018
Posts: 7
Location: India
GMAT 1: 480 Q47 V12
GPA: 3.4
Re: If |2z| – 1 ≥ 2, which of the following graphs could be a number line  [#permalink]

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New post 10 May 2018, 00:46
1
Bunuel wrote:
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?

Image


Attachment:
2A8vkix.jpg


|2z|-1 >= 2
|2z| >= 3
|z| >= 3/2
so it means z>= 3/2 or z<= -3/2

option :- A
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Re: If |2z| – 1 ≥ 2, which of the following graphs could be a number line  [#permalink]

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New post 21 Sep 2018, 08:13
amandeep0306 wrote:
Bunuel wrote:
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?

Image


Attachment:
2A8vkix.jpg


|2z|-1 >= 2
|2z| >= 3
|z| >= 3/2
so it means z>= 3/2 or z<= -3/2

option :- A


Hi......since its an OR thing, why ignore abs(2z) -1 < -2?

this gives x--> 1/2 an -1/2

regards
Veritas Prep GMAT Instructor
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line  [#permalink]

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New post 18 Oct 2018, 01:53
Bunuel wrote:
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?

Image


Attachment:
2A8vkix.jpg



|2z| – 1 ≥ 2

|2z| ≥ 3

|z| ≥ 3/2

So \(z \geq 1.5\) or \(z \leq -1.5\)

Answer (A)

Check: https://www.veritasprep.com/blog/2011/0 ... edore-did/
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line   [#permalink] 18 Oct 2018, 01:53
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