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If m < 15 and m > –4, which of the following must be true?

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If m < 15 and m > –4, which of the following must be true? [#permalink]

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New post 30 Jan 2017, 10:47
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If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4
Spoiler: OA

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Re: If m < 15 and m > –4, which of the following must be true? [#permalink]

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New post 30 Jan 2017, 11:06
Bunuel wrote:
If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

Placing -15, -4, 4 and 15 on the number line, only d satisfies the given conditions. Hence D
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Re: If m < 15 and m > –4, which of the following must be true? [#permalink]

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New post 30 Jan 2017, 11:38
Bunuel wrote:
If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4


\(-4 < m < 15\)

Or, \(m = { -3 , -2 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }\)

Thus , from the given options only (A) fits in perfectly, \(m > - 15\)

Hence, Aswer will be (A)
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Re: If m < 15 and m > –4, which of the following must be true? [#permalink]

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New post 07 Feb 2018, 23:08
I doubt the answer "A".
Answer must be D.
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Re: If m < 15 and m > –4, which of the following must be true? [#permalink]

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New post 07 Feb 2018, 23:16
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gvij2017 wrote:
I doubt the answer "A".
Answer must be D.


If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

We have that m < 15 and m > –4, thus -4 < m < 15 (this is given to be true). Any m from this range will be for sure greater than -15.

Answer: A.

As for the other options:

B. m < 4. This is not always true. For example, x could be 10.

C. m > 4. This is not always true. For example, x could be 0.

D. –4 < m < 4. This is not always true. For example, x could be 10.

E. –15 < m < 4. This is not always true. For example, x could be 10.

Check other similar questions from Trickiest Inequality Questions Type: Confusing Ranges (part of our Special Questions Directory).
_________________

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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If m < 15 and m > –4, which of the following must be true? [#permalink]

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New post 09 Feb 2018, 10:57
Expert's post
Bunuel wrote:
If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4


We note that since m is greater than -4, any possible value of m will also be greater than -15, therefore m > -15.

To see why other choices are not possible, let’s pick values for m close to upper and lower bounds, such as m = -3 and m = 14.

Answer Choice B: We see that m < 4 is not necessarily true since m can equal 14.

Answer Choice C: We see that m > 4 is not necessarily true since m can equal -3.

Answer Choice D: We see that -4 < m < 4 is not necessarily true since m can equal 14.

Answer Choice E: We see that -15 < m < 4 is not necessarily true since m can equal 14.

Answer: A
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Re: If m < 15 and m > –4, which of the following must be true?   [#permalink] 09 Feb 2018, 10:57
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