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
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:
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:
Again answer is E, because ANY x
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:
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.
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.
What are GMAT Club Tests?
25 extra-hard Quant Tests
Get the best GMAT Prep Resources with GMAT Club Premium Membership