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Statement-1 : For 0 le p lt 1 and for an...

Statement-1 : For 0` le p lt 1` and for any positive a and b the intequality `(a+b)^p lt a^p+b^p` is valid
Staement - 2: `For 0 le ple 1` the function `f(x)=1 +x^p -(1+x)^p` decreases on `[0,oo)`

A

`I(p) gt j(p)`

B

`I(p) lt j(p)`

C

`I(p) gt j(p) in [(p)/(2),infty) & I(p) lt j (p) in [(0,(p)/(2)]`

D

`I(p) lt j(p) in [(p)/(2),infty) & I(p) lt j (p) in [(0,(p)/(2)]`

Text Solution

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The correct Answer is:
D
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