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(x - 1)^(2)/(x - 2)^(2) ge 1 then subset...

`(x - 1)^(2)/(x - 2)^(2) ge 1` then subset in solution set may be

A

`(-oo, (3)/(2)]`

B

`[(3)/(2), 2)`

C

`[2 , oo)`

D

`(3, oo)`

Text Solution

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The correct Answer is:
B, D
`(x - 1)^(2)/(x - 2)^(2)- 1 ge 0`

`((x - 1)^(2) - (x - 2)^(2))/(x - 2)^(2)ge 0`
`((2x - 3))/(x - 2)^(2) ge 0`
`[(3)/(2), 2)cup(2, oo)`
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