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

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Math Expert
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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09 May 2018, 00:43
1
6
00:00

Difficulty:

25% (medium)

Question Stats:

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

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If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?

Attachment:

2A8vkix.jpg [ 35.38 KiB | Viewed 2929 times ]

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Intern
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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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?

Attachment:
2A8vkix.jpg

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

option :- A
Manager
Joined: 29 May 2017
Posts: 126
Location: Pakistan
Concentration: Social Entrepreneurship, Sustainability
Re: If |2z| – 1 ≥ 2, which of the following graphs could be a number line  [#permalink]

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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?

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
Joined: 16 Oct 2010
Posts: 9705
Location: Pune, India
If |2z| – 1 ≥ 2, which of the following graphs could be a number line  [#permalink]

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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?

Attachment:
2A8vkix.jpg

|2z| – 1 ≥ 2

|2z| ≥ 3

|z| ≥ 3/2

So $$z \geq 1.5$$ or $$z \leq -1.5$$

Check: https://www.veritasprep.com/blog/2011/0 ... edore-did/
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Karishma
Veritas Prep GMAT Instructor

If |2z| – 1 ≥ 2, which of the following graphs could be a number line   [#permalink] 18 Oct 2018, 01:53
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