If and , then which of the following must be true for all va

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varun289: Master | Next Rank: 500 Posts; Posts: 298; Joined: Sun Jun 03, 2012 6:42 amFollowed by: 7 members; Location: New delhi; Thanked: 10 times; GMAT Score:590

by varun289 » Sat Apr 06, 2013 12:52 am

If and , then which of the following must be true for all values of a ?

a>= -6 or a=<5 ?? or none

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Source: Beat The GMAT — Problem Solving | Sat Apr 06, 2013 12:52 am

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Anju@Gurome: GMAT Instructor; Posts: 511; Joined: Wed Aug 11, 2010 9:47 amFollowed by: 86 members; Location: Delhi, India; Thanked: 344 times

by Anju@Gurome » Sat Apr 06, 2013 1:13 am

varun289 wrote:If (information missing) and (information missing), then which of the following must be true for all values of a ?

a>= -6 or a=<5 ?? or none

Please check the question after you have posted it.

Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

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varun289: Master | Next Rank: 500 Posts; Posts: 298; Joined: Sun Jun 03, 2012 6:42 amFollowed by: 7 members; Location: New delhi; Thanked: 10 times; GMAT Score:590

by varun289 » Sat Apr 06, 2013 5:42 am

If a=<6 and a>= -5 , then which of the following must be true for all values of a ?

answer - a>=5 or a=> -6 ??

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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 » Sat Apr 06, 2013 6:07 am

varun289 wrote:If a=<6 and a>= -5 , then which of the following must be true for all values of a ?

answer - a>=5 or a=> -6 ??

So, -5 < a < 6
In other words, a can have any value from -5 to 6 inclusive.

Presumably, one answer choice is: a > 5
This need not be true since a could be less than 5
ELIMINATE this answer choice.

Presumably, another answer choice is: a > -6
Yes, this MUST be true.
If a can have any value from -5 to 6 inclusive, then a MUST be greater than or equal to -6
This is the correct answer choice.

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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