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If |ab| > ab, which of the following must be true
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10 Jan 2022, 05:23
10 Jan 2022, 05:23
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Question Stats:
90% (00:39) correct
9% (01:37) wrong based on 11 sessions
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If \(|ab| > ab\), which of the following must be true?
I. \(a < 0\)
II. \(b < 0\)
III. \(ab < 0\)
A. I only
B. II only
C. III only
D. I and III
E. II and III
I. \(a < 0\)
II. \(b < 0\)
III. \(ab < 0\)
A. I only
B. II only
C. III only
D. I and III
E. II and III
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Re: If |ab| > ab, which of the following must be true
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10 Jan 2022, 07:33
10 Jan 2022, 07:33
1
Carcass wrote:
If \(|ab| > ab\), which of the following must be true?
I. \(a < 0\)
II. \(b < 0\)
III. \(ab < 0\)
A. I only
B. II only
C. III only
D. I and III
E. II and III
I. \(a < 0\)
II. \(b < 0\)
III. \(ab < 0\)
A. I only
B. II only
C. III only
D. I and III
E. II and III
We can quickly eliminate 4 of the 5 answer choices by testing values that satisfy the given inequality, \(|ab| > ab\)
For example, we can see that \(a = 1\) and \(b = -1\) satisfies the given inequality.
When we scan statements I, II and III, we see that statement I is not necessarily true.
This means we can eliminate answer choices A and D, since they state that statement I must be true.
Another pair of values that satisfied to give an inequality is \(a = -1\) and \(b = 1\)
When we scan the statements, we see that statement II is not necessarily true, which means we can eliminate answer choices B and E, since they state that statement II must be true.
By the process of elimination, the correct answer must be C
If |ab| > ab, which of the following must be true?
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28 Aug 2023, 07:01
28 Aug 2023, 07:01
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If |ab| > ab, which of the following must be true?
I. a < 0
II. b < 0
III. ab < 0
A. I only
B. II only
C. III only
D. I and III only
E. II and III only
I. a < 0
II. b < 0
III. ab < 0
A. I only
B. II only
C. III only
D. I and III only
E. II and III only
