GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If b 0 and a/b>0
[#permalink]
Updated on: 30 Nov 2024, 02:01
Updated on: 30 Nov 2024, 02:01
1
1
Bookmarks
00:00
Question Stats:
66% (00:33) correct
33% (00:30) wrong based on 6 sessions
Hide Show timer Statistics
If b ≠ 0 and \(\frac{a}{b}> 0\), which of the following inequalities must be true?
Indicate all such inequalities.
1. \(a > b\)
2. \(b > 0\)
3. \(ab > 0\)
Indicate all such inequalities.
1. \(a > b\)
2. \(b > 0\)
3. \(ab > 0\)
Originally posted by ruposh6240 on 13 Oct 2018, 09:20.
Last edited by Carcass on 30 Nov 2024, 02:01, edited 1 time in total.
Last edited by Carcass on 30 Nov 2024, 02:01, edited 1 time in total.
UPDATED
Re: If b 0 and a/b>0
[#permalink]
13 Oct 2018, 11:39
13 Oct 2018, 11:39
1
Expert Reply
ruposh6240 wrote:
If b ≠ 0 and > 0, which of the following inequalities must be true?
Indicate all such inequalities.
1. a > b
2. b > 0
3. ab > 0
Answer is 3
Indicate all such inequalities.
1. a > b
2. b > 0
3. ab > 0
Answer is 3
Are you sure this is correct because 2 looks correct as it is mentioned in the question and there is nothing written about a.
Re: If b 0 and a/b>0
[#permalink]
30 Nov 2024, 02:03
30 Nov 2024, 02:03
Expert Reply
OE
If \(\frac{a}{b}>0\) then both a and b must have the same sign. That is, a and b are either both positive or both negative. The 1st inequality could be true, but is not necessarily true. The relative values of a and b are not indicated by the inequality in the question stem. The 2nd inequality could be true, but is not necessarily true. If a were negative, b could be negative. The 3rd inequality must be true, as it indicates that a and b have the same sign.
If \(\frac{a}{b}>0\) then both a and b must have the same sign. That is, a and b are either both positive or both negative. The 1st inequality could be true, but is not necessarily true. The relative values of a and b are not indicated by the inequality in the question stem. The 2nd inequality could be true, but is not necessarily true. If a were negative, b could be negative. The 3rd inequality must be true, as it indicates that a and b have the same sign.
