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|x-8| or |8-x|
[#permalink]
17 May 2022, 01:32
17 May 2022, 01:32
Expert Reply
00:00
Question Stats:
70% (00:40) correct
30% (00:36) wrong based on 30 sessions
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Quantity A |
Quantity B |
|x-8| |
|8-x| |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: |x-8| or |8-x|
[#permalink]
17 May 2022, 09:51
17 May 2022, 09:51
Here are two ways to solve this problem:
1. Visualize on a number line or use general number sense to understand that these are "mirror" expressions of each other, so taking the absolute value into account, the quantities are equal.
2. Plug a number in as x to test. For this example, let's use 10.
10 - 8 = 2. The absolute value of 2 is 2.
8 - 10 = -2. The absolute value of -2 is 2.
Therefore, the answer is (C) the two quantities are equal.
1. Visualize on a number line or use general number sense to understand that these are "mirror" expressions of each other, so taking the absolute value into account, the quantities are equal.
2. Plug a number in as x to test. For this example, let's use 10.
10 - 8 = 2. The absolute value of 2 is 2.
8 - 10 = -2. The absolute value of -2 is 2.
Therefore, the answer is (C) the two quantities are equal.
Re: |x-8| or |8-x|
[#permalink]
17 May 2022, 20:45
17 May 2022, 20:45
1
We know that, |a| = |-a|
So, |x-8| = | - (x-8) | = |8-x|
Both are equal. So, C is the correct option.
So, |x-8| = | - (x-8) | = |8-x|
Both are equal. So, C is the correct option.
