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Vaibhav Mathur Grade: 12
        

The solution of inequality (x+1)(x2+1)1/2>x2-1 is


(a) {-1} U [2,infinite)


(b) [-1,infinite)


(c){-4}u[2,3]


(d)(-5,infinite)

7 years ago

Answers : (1)

AskiitiansExpert Milanshu
9 Points
										



(x+1)(x2+1)1/2>x2-1


(x+1)(x2+1)1/2>(x-1)(x+1)


either x=-1 or


case 1:x>-1


(x2+1)1/2>x-1


squaring both side,


 


(x2+1)>x2+1 +2x


therefore x>0


case 2: x<-1


(x2+1)1/2<x-1


therefore, x<0


therefore, answer is [-1,infinte)


 

7 years ago
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