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If x is greater than -8 but less than 4, then which of the following m

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Lkdsapy
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If x is greater than -8 but less than 4, then which of the following m [#permalink] New post   Updated on: 16 Jan 2021, 02:24
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If x is greater than -8 but less than 4, then which of the following must be true?

A. x > 11
B. x > 2
C. x > -7
D. x < 3
E. x > -9
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E

Originally posted by Lkdsapy on 15 Jan 2021, 21:08.
Last edited by Bunuel on 16 Jan 2021, 02:24, edited 1 time in total.
Renamed the topic and added the OA.
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Re: If x is greater than -8 but less than 4, then which of the following m [#permalink] New post   15 Jan 2021, 21:25
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IMO E

The range of X Given >> -8< X < 4

So X = any number among -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3 (if integers are considered)

So X is definitely > -9

Hence Option E is correct.
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Re: If x is greater than -8 but less than 4, then which of the following m [#permalink] New post   15 Jan 2021, 21:35
Why is Option D not correct?

Could you plz explain to me this?
I don't get it yet!

Posted from my mobile device
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Re: If x is greater than -8 but less than 4, then which of the following m [#permalink] New post   15 Jan 2021, 22:00
Lkdsapy wrote:
Why is Option D not correct?

Could you plz explain to me this?
I don't get it yet!

Posted from my mobile device



Hey Lkdsapy

Glad to help.

In Inequalities the signs indicate as follows:

1. X > 3 >> Implies X is any number greater than 3 but not equal to 3.
2. X >= 3 >> Implies X is any number greater than 3, including 3.
3. X < 3 >> Implies X is any number less than 3, but not 3
4. X <= 3 >> implies X is any number less than or equal to 3.

Option D is 3rd case, in which X cannot be 3. But according to QS, X can be 3. Hence Option D is incorrect.
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If x is greater than -8 but less than 4, then which of the following m [#permalink] New post   17 Jan 2021, 09:19
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Lkdsapy

D is not "always true" since you can choose x = 3.5 or any value greater than or equal to 3 but less than 4 for x.

Hence the correct answer must incorporate the range -8 < x < 4.
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If x is greater than -8 but less than 4, then which of the following m [#permalink]
17 Jan 2021, 09:19
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