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himu: Master | Next Rank: 500 Posts; Posts: 345; Joined: Sun Dec 21, 2008 10:57 pmFollowed by: 3 members; Thanked: 6 times

by himu » Wed Jun 12, 2013 4:04 am

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.

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Source: Beat The GMAT — Problem Solving | Wed Jun 12, 2013 4:04 am

himu: Master | Next Rank: 500 Posts; Posts: 345; Joined: Sun Dec 21, 2008 10:57 pmFollowed by: 3 members; Thanked: 6 times

by himu » Wed Jun 12, 2013 4:05 am

[spoiler]My ans : E.
OA : B x > -7
Please explain, thanks in advance.[/spoiler]

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Wed Jun 12, 2013 5:44 am

himu 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.

So, -2 < x < 7
In other words, x can have any value between -2 and 7
So, let's say that I have, in my pocket, a number between -2 and 7
Which of the following must be true about that number?

B) x > -7
Must it be true that the number in my pocket is greater than -7?
Yes. If the number in my pocket is between -2 and 7, then that number MUST BE greater than -7

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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