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The solution set of the inequality is of form (a+b). x/((1-x) 1/2 +x 1/2 )-x/((1-x) 1/2 -x 1/2 )>2/x 1/2 The value of a+b= (a)14 (b)infinite (c)3/2 (d)11/4

The solution set of the inequality is of form (a+b).


x/((1-x)1/2 +x1/2 )-x/((1-x)1/2-x 1/2)>2/x1/2


The value of a+b=


(a)14


(b)infinite


(c)3/2


(d)11/4


 

Grade:12

1 Answers

AskiitiansExpert Milanshu
9 Points
12 years ago

x/((1-x)1/2 +x1/2 )-x/((1-x)1/2-x 1/2)>2/x1/2

x3/2[((1-x)1/2 -x1/2 ) - ((1-x)1/2 +x1/2 )]>2[((1-x) -x )]

-2x2 > 2(1-2x)

x2 -2x+1>0

(x-1)2>0

always true,

thus infinite is the answer

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