1/|x-1|<2 অসমতাটির সমাধান করুন ।

A (-∞,1/2)∪(3/2,+∞)

B (1/2,3/2)

C (-∞,1)∪(3,+∞)

D (-∞,2)∪(5/2+∞)

Solution

Correct Answer: Option A

1/( |(x - 1)| ) < 2
ধনাত্মক হলে, 1/ (x - 1) < 2
x – 1 < 1/2
x < 3/2
ঋণাত্মক হলে,1/ - (x - 1) < 2
x – 1 > - 1/2
x > 1/2
(- ∞, 1/2) ∪ (∞, 3/2)

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