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04 May 2026, 19:00
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Difficulty:
65%
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Question Stats:
54% (01:32) correct
46%
(01:28)
wrong
based on 149
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If |x| > 5 – 2x, which of the following represents the correct range of values of x ?
A. x > 5/3
B. x > 5
C. 5/3 < x < 5
D. -5 < x < -5/3
E. No such real value of x exists
A. x > 5/3
B. x > 5
C. 5/3 < x < 5
D. -5 < x < -5/3
E. No such real value of x exists
04 May 2026, 19:51
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There is no other way we need to solve the inequality:
take different cases:
|x| > 5 − 2x
Consider two cases.
Case 1: x ≥ 0
Then |x| = x
x > 5 − 2x
3x > 5
x > 5/3
This already satisfies x ≥ 0, so valid solution: x > 5/3
Case 2: x < 0
Then |x| = −x
−x > 5 − 2x
Add 2x both sides:
x > 5
But this contradicts x < 0, so no solution from this case.
Final answer: x > 5/3
Answer: A. x > 5/3
take different cases:
|x| > 5 − 2x
Consider two cases.
Case 1: x ≥ 0
Then |x| = x
x > 5 − 2x
3x > 5
x > 5/3
This already satisfies x ≥ 0, so valid solution: x > 5/3
Case 2: x < 0
Then |x| = −x
−x > 5 − 2x
Add 2x both sides:
x > 5
But this contradicts x < 0, so no solution from this case.
Final answer: x > 5/3
Answer: A. x > 5/3
05 May 2026, 00:17
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The concept is |x| > k implies x > k (for x>0) or x <-k (for x <0)
|x| > 5 -2x
x > 5-2x , for x>0 OR x < -(5-2x) for x<0
x > 5/3 for x >0 OR x >5 for x<0
x >5/3 OR This part doesn't yield result as x can't be less than zero and more than 5.
x > 5/3.
A
|x| > 5 -2x
x > 5-2x , for x>0 OR x < -(5-2x) for x<0
x > 5/3 for x >0 OR x >5 for x<0
x >5/3 OR This part doesn't yield result as x can't be less than zero and more than 5.
x > 5/3.
A
ExpertsGlobal5
