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## If it is true that z < 8 and 2z > -4, which of the fol

tagged by: BTGmoderatorLU

This topic has 3 expert replies and 0 member replies

### Top Member

BTGmoderatorLU Moderator
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#### If it is true that z < 8 and 2z > -4, which of the fol

Sun Mar 04, 2018 12:07 pm
If it is true that z < 8 and 2z > -4, which of the following must be true?

A. -8 < z < 4
B. z > 2
C. z > -8
D. z < 4
E. None of the above

The OA is C.

Can I say, z < 8 and 2z < -4 = z < -2, then -2 < z < 8, right?

Only C is always true, as ANY z from the TRUE range, -2 < z < 8, will be greater than -8.

### GMAT/MBA Expert

mbawisdom Senior | Next Rank: 100 Posts
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Sun Mar 04, 2018 2:04 pm
LUANDATO wrote:
If it is true that z < 8 and 2z > -4, which of the following must be true?

A. -8 < z < 4
B. z > 2
C. z > -8
D. z < 4
E. None of the above

The OA is C.

Can I say, z < 8 and 2z < -4 = z < -2, then -2 < z < 8, right?

Only C is always true, as ANY z from the TRUE range, -2 < z < 8, will be greater than -8.

I would have set it up the same way you did. You are correct in saying that -2 < Z < 8. Further you are correct in saying that C is true. Every possible value of Z is greater than -8.

A) doesn't hold --> test z = 5
B) doesn't hold --> test z = 1
D) doesn't hold --> test z = 5

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
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GMAT Score:
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Sun Mar 04, 2018 2:26 pm
LUANDATO wrote:
If it is true that z < 8 and 2z > -4, which of the following must be true?

A. -8 < z < 4
B. z > 2
C. z > -8
D. z < 4
E. None of the above

The OA is C.

Can I say, z < 8 and 2z < -4 = z < -2, then -2 < z < 8, right?

Only C is always true, as ANY z from the TRUE range, -2 < z < 8, will be greater than -8.

Hi LUANDATO,

Your conclusion, -2 < z < 8, is perfect.
So, if z is BETWEEN -2 and 8, then z must be greater than -8

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11754 messages
Followed by:
1232 members
5254
GMAT Score:
770
Sun Mar 04, 2018 2:26 pm
LUANDATO wrote:
If it is true that z < 8 and 2z > -4, which of the following must be true?

A. -8 < z < 4
B. z > 2
C. z > -8
D. z < 4
E. None of the above

The OA is C.

Can I say, z < 8 and 2z < -4 = z < -2, then -2 < z < 8, right?

Only C is always true, as ANY z from the TRUE range, -2 < z < 8, will be greater than -8.

Hi LUANDATO,

Your conclusion, -2 < z < 8, is perfect.
So, if z is BETWEEN -2 and 8, then z must be greater than -8

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
Use our video course along with

Check out the online reviews of our course
Come see all of our free resources

GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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