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If b 0 and a/b>0
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Updated on: 30 Nov 2024, 02:01
Updated on: 30 Nov 2024, 02:01
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60% (00:37) correct
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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
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13 Oct 2018, 11:39
13 Oct 2018, 11:39
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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
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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.
