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Updated on: 11 Mar 2024, 07:32
Originally posted by EgmatQuantExpert on 19 May 2015, 06:33.
Last edited by Bunuel on 11 Mar 2024, 07:32, edited 6 times in total.
Last edited by Bunuel on 11 Mar 2024, 07:32, edited 6 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:12) correct
13%
(01:19)
wrong
based on 1493
sessions
History
Date
Time
Result
Not Attempted Yet
The absolute value of (x + a) will be the greatest if x is the coordinate of which of the five points P, Q, R, S and T on the number line above?
(A) P
(B) Q
(C) R
(D) S
(E) T
This is a Warm-up Question for the e-GMAT Question Series on Absolute Value.
Provide your solution below. Kudos for participation. Happy Solving! :-D
Best Regards
The e-GMAT Team
ABOQ1.png [ 7.61 KiB | Viewed 15724 times ]
Provide your solution below. Kudos for participation. Happy Solving! :-D
Best Regards
The e-GMAT Team
Attachment:
ABOQ1.png [ 7.61 KiB | Viewed 15724 times ]
[/spoiler]
01 Jul 2015, 06:10
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carrerswitch
Hi carrerswitch,
Let me explain the concept with a different example. When we need to find the distance between two numbers, let's say 5 and 2, we write 5 - 2 = 3.
In the same way when we need to find the distance between 5 and -2 we write 5 - (-2) = 5 + 2 = 7.
Now we know that |x| = Distance of x from 0 i.e. | x - 0|.
So, distance of x from a can be written as | x - a|. In the same manner distance of -a from x can be written as | x - (-a)| = |x + a|
Hope this helps
Regards
Harsh
22 May 2015, 02:40
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Official Explanation
Correct Answer: E
The question asks us to maximize the value of |x+a|
|x+a| measures the distance of x from the point –a on the number line.
Out of the five points, the point that is the most distant from –a is T.
Correct Answer: E
The question asks us to maximize the value of |x+a|
|x+a| measures the distance of x from the point –a on the number line.
Out of the five points, the point that is the most distant from –a is T.
