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If it is true that x > -2 and x <7, which of the following m

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If it is true that x > -2 and x <7, which of the following m [#permalink] New post 14 Mar 2012, 14:24
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If it is true that x > -2 and x <7, which of the following must be true?

A. x > 2
B. x > -7
C. x< 2
D. -7 < x < 2
E. none of the above.
[Reveal] Spoiler: OA
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Re: If it is true that x > -2 and x <7, which of the following m [#permalink] New post 14 Mar 2012, 14:48
Expert's post
eybrj2 wrote:
If it is true that x > -2 and x <7, which of the following must be true?

A. x > 2
B. x > -7
C. x< 2
D. -7 < x < 2
E. none of the above.


Given: -2<x<7.

Now, any x from this true range is more than -7, so x>-7 must be true.

Answer: B.
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Re: If it is true that x > -2 and x <7, which of the following m [#permalink] New post 29 Jun 2012, 06:19
Bunuel

what is the reason B must be true ???

the range is -2<x<7


A. x > 2 - no because x can be between -2<x<2
B. x > -7 -- the answer is true, is it because the values of x are always >-7
C. x< 2 - no because x can be between 2<x<7
D. -7 < x < 2 - no beacuse x can be between -7<x<-2 ????
E. none of the above. - i actually went for E answer choice

in the another problem we had similar situation
ANY x from the ranges -1<x<0 and x>1 will definitely be more the -1. I didnot understood the reason there as well???

if-x-x-x-which-of-the-following-must-be-true-about-x-68886.html
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Re: If it is true that x > -2 and x <7, which of the following m [#permalink] New post 29 Jun 2012, 06:52
Expert's post
kuttingchai wrote:
Bunuel

what is the reason B must be true ???

the range is -2<x<7

A. x > 2 - no because x can be between -2<x<2
B. x > -7 -- the answer is true, is it because the values of x are always >-7
C. x< 2 - no because x can be between 2<x<7
D. -7 < x < 2 - no beacuse x can be between -7<x<-2 ????
E. none of the above. - i actually went for E answer choice


in the another problem we had similar situation
ANY x from the ranges -1<x<0 and x>1 will definitely be more the -1. I didnot understood the reason there as well???

if-x-x-x-which-of-the-following-must-be-true-about-x-68886.html


Option D is not correct since x could be 2<x<7. Otherwise your reasoning is correct.

We are given that -2<x<7. The question is which of the following is true about x?

x>-7 is true about x, because as x is more than -2 then it's definitely more than -7.

To elaborate more. Question uses the same logic as in the examples below:

If x=5, then which of the following must be true about x:
A. x=3
B. x^2=10
C. x<4
D. |x|=1
E. x>-10

Answer is E (x>-10), because as x=5 then it's more than -10.

Or:
If -1<x<10, then which of the following must be true about x:
A. x=3
B. x^2=10
C. x<4
D. |x|=1
E. x<120

Again answer is E, because ANY x from -1<x<10 will be less than 120 so it's always true about the number from this range to say that it's less than 120.

Or:
If -1<x<0 or x>1, then which of the following must be true about x:
A. x>1
B. x>-1
C. |x|<1
D. |x|=1
E. |x|^2>1

As -1<x<0 or x>1 then ANY x from these ranges would satisfy x>-1. So B is always true.

x could be for example -1/2, -3/4, or 10 but no matter what x actually is it's IN ANY CASE more than -1. So we can say about x that it's more than -1.

On the other hand for example A is not always true as it says that x>1, which is not always true as x could be -1/2 and -1/2 is not more than 1.

Hope it's clear.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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 it is true that x > -2 and x <7, which of the following m [#permalink] New post 29 Jun 2012, 09:24
Bunuel, what difficulty would you say this problem is? 600-700 sounds awfully high, I was putting it more in the mid 500's.
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Re: If it is true that x > -2 and x <7, which of the following m [#permalink] New post 29 Jun 2012, 10:01
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Re: If it is true that x > -2 and x <7, which of the following m [#permalink] New post 04 Mar 2014, 09:43
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Re: If it is true that x > -2 and x <7, which of the following m   [#permalink] 04 Mar 2014, 09:43
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