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

tagged by: BTGmoderatorLU

### Top Member

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

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.

Experts, any suggestion about this PS question? Thanks in advance.

### GMAT/MBA Expert

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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.

Experts, any suggestion about this PS question? Thanks in advance.
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

GMAT Instructor
Joined
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Posted:
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Upvotes:
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GMAT Score:
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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.

Experts, any suggestion about this PS question? Thanks in advance.
Hi LUANDATO,

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

Answer: C

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
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Sign up for our free Question of the Day emails
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### GMAT/MBA Expert

GMAT Instructor
Joined
08 Dec 2008
Posted:
12124 messages
Followed by:
1237 members
Upvotes:
5254
GMAT Score:
770
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.

Experts, any suggestion about this PS question? Thanks in advance.
Hi LUANDATO,

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

Answer: C

Cheers,
Brent

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

Sign up for our free Question of the Day emails
And check out 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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