If (a^(2)+ a-2) x^(2)+ (a+2) x lt 1 for ...

If `(a^(2)+ a-2) x^(2)+ (a+2) x lt 1` for all `x in R`, then a belongs to the interval

A

`(-2, 1)`

B

`[-2, (2)/(5))`

C

`((2)/(5), 1)`

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If |x-3|lt2x+9 , then x lies in the interval

If 7x-2lt4-3xand 3x-1lt2+5x , then x lies in the interval

If x satisfies the inequalities x + 7 lt 2 x +3 and 2x + 4 lt 5x +3 , then x lies in the interval

If (2x+3)/(5)lt(4x-1)/(2) , then x lies in the interval

If x satisfies the inequations 2x-7 lt 11 and 3x+4 lt- 5 , then x lies in the interval a) (-infty,3) b) (-infty,2) c) (-infty,-3) d) (-infty,infty)

Solve : x+x/2+x/3 lt 11 for real x.