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If x  7 > 56, what is the range of x?
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Updated on: 13 Sep 2018, 08:19
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Different methods to solve absolute value equations and inequalities Exercise Question #4If 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, ∞) Previous Question  Next Question To read the article: Different methods to solve absolute value equations and inequalities
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If x  7 > 56, what is the range of x?
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Updated on: 17 Sep 2018, 04:01
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
• Therefore, the range of values of x, that satisfies the inequality, x  7 > 56, is (∞, 49) ⋃ (63, ∞)
Hence, the correct answer is option D. Answer: D
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Re: If x  7 > 56, what is the range of x?
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13 Sep 2018, 04:02
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.



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Re: If x  7 > 56, what is the range of x?
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13 Sep 2018, 09:13
selim wrote: 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. Shouldn't it be x<49 and x>63? So D is the answer
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Re: If x  7 > 56, what is the range of x?
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13 Sep 2018, 11:28
selim wrote: 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. Because the inequality sign point to the right we know that the answer will be in the "or" form, hence A, B and C are out. Now solve for the two cases : x7>56 > x>63 x7<56 (do not forget to switch the sign for the negative case) > x<49 Answer D
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Re: If x  7 > 56, what is the range of x?
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14 Sep 2018, 06:57
'D' it is, (∞, 49) ⋃ (63, ∞)




Re: If x  7 > 56, what is the range of x?
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14 Sep 2018, 06:57






