Last visit was: 17 Jun 2024, 03:20 It is currently 17 Jun 2024, 03:20
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Is p positive?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93718
Own Kudos [?]: 632401 [6]
Given Kudos: 82322
Intern
Joined: 09 Sep 2016
Posts: 35
Own Kudos [?]: 287 [1]
Given Kudos: 10
Location: Georgia
Concentration: Finance, International Business
GPA: 3.75
WE:Analyst (Investment Banking)
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [0]
Given Kudos: 799
Intern
Joined: 17 May 2016
Posts: 14
Own Kudos [?]: 4 [1]
Given Kudos: 610
Re: Is p positive? [#permalink]
1
Kudos
Hi Brent why have you reversed the inequality sign after adding p to both sides in statement 2?

Sent from my iPhone
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [0]
Given Kudos: 799
Re: Is p positive? [#permalink]
Top Contributor
enantiodromia wrote:
Hi Brent why have you reversed the inequality sign after adding p to both sides in statement 2?

Sent from my iPhone

I reversed the inequality sign because I'm typing too fast

I've edited my response.

Cheers and thanks,
Brent
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19019
Own Kudos [?]: 22420 [0]
Given Kudos: 286
Location: United States (CA)
Is p positive? [#permalink]
Bunuel wrote:
Is p positive?

(1) |p – 4| = 6
(2) 10 – p > 0

Statement One Alone:

|p – 4| = 6

We first can solve for p when (p - 4) is positive and then when it is negative.

When (p - 4) is positive:

p - 4 = 6

p = 10

When p - 4 is negative:

-(p - 4) = 6

-p + 4 = 6

-p = 2

p = -2

Since p = 10 or -2, we cannot determine whether p is positive. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

10 – p > 0

We see that 10 > p, or equivalently, p < 10. Since p is less than 10, p could be positive or negative. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the information in statements one and two, we know that p must equal -2, since p is less than 10. Thus, p is NOT positive.

Non-Human User
Joined: 09 Sep 2013
Posts: 33614
Own Kudos [?]: 838 [0]
Given Kudos: 0
Re: Is p positive? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: Is p positive? [#permalink]
Moderator:
Math Expert
93718 posts