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Complete solution set of inequlaity ((x+...

Complete solution set of inequlaity `((x+2)(x+3))/((x-2)(x-3))le1`

A

`(-oo,0)`

B

`(-oo,0 ]cup (2,3)`

C

[2,3]

D

`(-oo,2 ) cup (3,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
`((x+2)(x+3))/((x-2)(x-3)) le 1 `
`rArr (x^2+5x+6)/(x^2-5x+6)-1 le 0 `
`rArr (10x)/((x-2)(x-3)) le 0 `

`x in (-oo,0 ] cup (2,3)`
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Knowledge Check

  • Solution set of ((x-2)^2(1-x)(x-3)^3(x-4)^2)/((x-1))le0 is

    A
    (-1,1)
    B
    `[-1,1]cup[3,4]`
    C
    `(-1,1]cup[3,infty)`
    D
    None of these

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