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Is 4z > -6 ? (1) z < 7 (2) z > -1

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Bunuel
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Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  03 Mar 2020, 03:57
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Is 4z > -6 ?

(1) z < 7

(2) z > -1
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  03 Mar 2020, 11:10
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is z > -1.5?

statement 1: z < 7
z can be 1 or -2; not sufficient

statement 2: z > -1; sufficient

Ans: B
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SaikatRoy
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  17 Mar 2020, 04:57
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The question asks if 4z > -6.
Or, if z> -3/2.
Or, if z > -1.5.

Statement-1 states that z < 7.
Or z can be any indefinite value like 6,4,3 etc.
Hence Insufficient.

Cancel AD. Keep BCE.

Statement-2 states that z > -1
Or, hence z>-1.5
Hence Sufficient.

Cancel CE. Right Option Is B.
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AM3
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Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  12 Jul 2020, 09:13
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AM3 wrote:
SaikatRoy wrote:
The question asks if 4z > -6.
Or, if z> -3/2.
Or, if z > -1.5.

Statement-1 states that z < 7.
Or z can be any indefinite value like 6,4,3 etc.
Hence Insufficient.

Cancel AD. Keep BCE.

Statement-2 states that z > -1
Or, hence z>-1.5
Hence Sufficient.

Cancel CE. Right Option Is B.



Quick question: When testing Statement 2 (z > -1.5), wouldn't this fail for values like -1.2, -1.3, -1.4 which are z > -1 and > -1.5?



Just had a second look at my question: clearly -1.2, -1.3, -1.4 are smaller than -1.5 and not bigger than -1. It's just very tricky to see at first glance. Hence my follow up question when solving these types of questions, would drawing a simple number line help see such a trick clearly? What is an effective way to not get tricked by such a question? (Any tips are welcome). Thank you!
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Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  03 Mar 2020, 10:32
Bunuel wrote:
Is 4z > -6 ?

(1) z < 7

(2) z > -1


find
is 2z>-3
2z+3>0
#1
z<7
insufficient
#2
z>-1
yes sufficient
IMO B
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Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  Updated on: 12 Jul 2020, 09:14
SaikatRoy wrote:
The question asks if 4z > -6.
Or, if z> -3/2.
Or, if z > -1.5.

Statement-1 states that z < 7.
Or z can be any indefinite value like 6,4,3 etc.
Hence Insufficient.

Cancel AD. Keep BCE.

Statement-2 states that z > -1
Or, hence z>-1.5
Hence Sufficient.

Cancel CE. Right Option Is B.



Quick question: When testing Statement 2 (z > -1.5), wouldn't this fail for values like -1.2, -1.3, -1.4 which are z > -1 and > -1.5?

Originally posted by AM3 on 12 Jul 2020, 09:08.
Last edited by AM3 on 12 Jul 2020, 09:14, edited 1 time in total.
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carolinedubose
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  11 Aug 2020, 05:50
SaikatRoy wrote:
The question asks if 4z > -6.
Or, if z> -3/2.
Or, if z > -1.5.

Statement-1 states that z < 7.
Or z can be any indefinite value like 6,4,3 etc.
Hence Insufficient.

Cancel AD. Keep BCE.

Statement-2 states that z > -1
Or, hence z>-1.5
Hence Sufficient.

Cancel CE. Right Option Is B.


What if Z is 0?
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CrushTheQuant
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  08 Nov 2020, 10:58
Simplifying the equation or, in this case, the inequality written in the question is always a great way to start off.

Here's an explanation of this question on YouTube

https://www.youtube.com/watch?v=FJw7Uk3 ... tTH4PrzQ4g
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink] New post  23 Dec 2023, 03:25
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 [#permalink]
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