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Bunuel
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line 09 May 2018, 00:43
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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?




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




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

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




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

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

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

regards
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line Updated on: 17 Oct 2022, 03:41
Originally posted by KarishmaB on 18 Oct 2018, 01:53.
Last edited by KarishmaB on 17 Oct 2022, 03:41, edited 1 time in total.
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Bunuel
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?




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|2z| – 1 ≥ 2

|2z| ≥ 3

|z| ≥ 3/2

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

Answer (A)
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line 27 May 2021, 00:21
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Bunuel
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?




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Option A and Option D are same?
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line 27 May 2021, 00:59
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nsdl1985
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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?




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No. Notice the bolded parts in those options. A reads: \(x \leq -1\) or \(x \geq 1\), while D reads \(-1 \leq x \leq 1\).
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line 27 May 2021, 03:42
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Bunuel
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Bunuel
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?




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Option A and Option D are same?

No. Notice the bolded parts in those options. A reads: \(x \leq -1\) or \(x \geq 1\), while D reads \(-1 \leq x \leq 1\).
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Thanks a lot Bunuel. Lots of love and blessings to you for helping all of us here on Gmatclub.
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line 11 Apr 2022, 05:54
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Bunuel
If |2z| – 1 ≥ 2, which of the following graphs could be a number line representing all the possible values of z?


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IMPORTANT: This question is similar to "What must be true" questions. The difference is that the correct answer choice shows every possible solution (and no more) to be given inequality.

Let's TEST SOME values.

When I scan the answer choices, I see that some have 0 as part of the solution, and others don't.
So, let's see what happens when z = 0

Plug z = 0 into original equation to get: |2(0)| – 1 ≥ 2
Evaluate to get: |0| – 1 ≥ 2
We get: 0 – 1 ≥ 2
And then: -1 ≥ 2
NOT TRUE.
So, z = 0 is NOT a solution.
Therefore, we'll ELIMINATE D and E, since they say z=0 IS a solution.

Strategy: Among the three remaining answer choices, two have have 1 as part of the solution, and one doesn't.
So, let's see what happens when z = 1
Plug z = 1 into original equation to get: |2(1)| – 1 ≥ 2
Evaluate to get: |2| – 1 ≥ 2
We get: 2 – 1 ≥ 2
And then: 1 ≥ 2
NOT TRUE.
So, z = 1 is NOT a solution to the given inequality.
Therefore, we'll ELIMINATE B and C, since they say z = 1 IS a solution.

By the process of elimination, we're left with A, the correct answer.

Cheers,
Brent
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If |2z| – 1 ≥ 2, which of the following graphs could be a number line 30 Apr 2026, 20:17
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