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x < 0
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19 Jul 2019, 08:20
19 Jul 2019, 08:20
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Question Stats:
66% (00:19) correct
33% (00:13) wrong based on 224 sessions
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\(x < 0\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\(|x|\) |
\(-x\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given
Re: x < 0
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28 Sep 2019, 05:32
28 Sep 2019, 05:32
2
Let's take a number <0, -1 for example:
|x| = |-1| = 1
-x = -(-1) = 1
Hence the answer is C.
Regards.
|x| = |-1| = 1
-x = -(-1) = 1
Hence the answer is C.
Regards.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
x < 0
[#permalink]
01 Oct 2019, 08:50
01 Oct 2019, 08:50
Carcass wrote:
\(x < 0\)
Quantity A |
Quantity B |
\(|x|\) |
\(-x\) |
-------------ASIDE-------------------
Two key concepts:
#1: If k is POSITIVE, then \(|k|=k\)
Some examples:
\(|5|=5\)
\(|97|=97\)
\(|3.47|=3.47\)
#2: If k is NEGATIVE, then \(|k|=-k\)
Some examples:
\(|-4|=-(-4)=4\)
\(|-113|=-(-113)=113\)
\(|-8.9|=-(-8.9)=8.9\)
-----------------------------------
The question tells us that x is NEGATIVE.
So, by Property #2 above, we know that \(|x|=-x\)
So, in Quantity A, we can replace \(|x|\) with \(-x\) to get:
QUANTITY A: \(-x\)
QUANTITY B: \(-x\)
Answer: C
Cheers,
Brent
