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Updated on: 13 Sep 2018, 08:19
Originally posted by EgmatQuantExpert on 13 Sep 2018, 03:07.
Last edited by EgmatQuantExpert on 13 Sep 2018, 08:19, edited 2 times in total.
Last edited by EgmatQuantExpert on 13 Sep 2018, 08:19, edited 2 times in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:11) correct
25%
(01:08)
wrong
based on 1136
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Different methods to solve absolute value equations and inequalities- Exercise Question #4
If |x - 7| > 56, what is the range of x?
Options
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To read the article: Different methods to solve absolute value equations and inequalities
If |x - 7| > 56, what is the range of x?
Options
- a) (-56, 56)
b) (-63, 63)
c) (-49, 63)
d) (-∞, -49) ⋃ (63, ∞)
e) (-∞, -56) ⋃ (56, ∞)
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To read the article: Different methods to solve absolute value equations and inequalities
Updated on: 17 Sep 2018, 04:01
Originally posted by EgmatQuantExpert on 13 Sep 2018, 03:12.
Last edited by EgmatQuantExpert on 17 Sep 2018, 04:01, edited 1 time in total.
Last edited by EgmatQuantExpert on 17 Sep 2018, 04:01, edited 1 time in total.
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Solution
Given:
- • We are given an absolute value inequality, |x - 7| > 56
• Note that we do not have any constraint on x. So, x can be an integer or a decimal
To find:
- • We need to find the range of values of x, that satisfies the given inequality
Approach and Working:
- • We know that, the range of x, for |x| > a, is x < -a ⋃ x > a
• So, the range of x, for |x - 7| > 56, is
- o x – 7 < -56 ⋃ x - 7 > 56
o Implies, x < -49 ⋃ x > 63
Hence, the correct answer is option D.
Answer: D
13 Sep 2018, 04:02
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Since this question is designed based on absolute value , we have to asses both negative and positive aspects of x.
1. when x is positive:
x - 7> 49
x > 63
2. when x is negative :
- x + 7 > 56
x< -49.
So, -49<x<63.
The best answer is C.
1. when x is positive:
x - 7> 49
x > 63
2. when x is negative :
- x + 7 > 56
x< -49.
So, -49<x<63.
The best answer is C.
