1 / |x-1| < 2 অসমতাটির সমাধান নিচের কোনটি?

A (-∞,1)∪(3,+∞)

B (-∞,2)∪(5/2,+∞)

C (-∞, 1/2)∪ (3/2, +∞)

D (1/2,3/2)

Solution

Correct Answer: Option C

1/|x-1| < 2
1/|x-1| ধনাত্নক হলে,
1/(x-1) -2
⇒1< -2x+2
⇒ -1< -2x
∴ 1/2> x
তাহলে,(-∞, 1/2)∪ (3/2, +∞)

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