The set of all real numbers `x` for which `x^2-|x+2|+x >0` is (a)`(-oo,-2)uu(2,oo)` (b) `(-oo,-sqrt(2))uu(sqrt(2),oo)` (c)`(-oo,-1)uu(1,oo)` (d) `(sqrt(2),oo)`

The set of all real numbers x for which x^2-|x+2|+x >0 is (-oo,-2) b. (-oo,-sqrt(2))uu(sqrt(2),oo) c. (-oo,-1)uu(1,oo) d. (sqrt(2),oo)

The set of all real numbers x for which x^(2)-|x+2|+x>0 is (-oo,-2) b.(-oo,-sqrt(2))uu(sqrt(2),oo) c.(-oo,-1)uu(1,oo) d.(sqrt(2),oo)

The set of all real numbers x for which x^2-|x+2|+x >0 is (-oo,-2) b. (-oo,-sqrt(2))uu(sqrt(2),oo) c. (-oo,-1)uu(1,oo) d. (sqrt(2),oo)

The set of all real numbers x for which x^2-|x+2|+x >0 is (-oo,-2) b. (-oo,-sqrt(2))uu(sqrt(2),oo) c. (-oo,-1)uu(1,oo) d. (sqrt(2),oo)

Set of value of m for which a chord of slope m of the circle x^(2)+y^(2)=4 touches parabola y^(2)=4x is (A)(-oo,-sqrt((sqrt(2)-1)/(2))]uu[sqrt((sqrt(2)-1)/(2)),oo)(B)(-oo,-1)uu(1,oo)(C)(-1,1)(D)(-oo,oo)

If |x-2| (A) x in R , (B) x in[0,oo)] , (C) x in(-oo,(4-sqrt(2))/(2)]uu[(5)/(2),oo), (D) x in(-oo,(4-sqrt(2))/(2)]uu[(5+sqrt(3))/(2),oo]

The solution set of the inequality max {1-x^2,|x-1|}<1 is (-oo,0)uu(1,oo) (b) (-oo,0)uu(2,oo) (0,2) (d) (0,2)

Solution set of the inequation (x^2+4x+4)/(2x^2-x-1)>0, is x in (-oo,-2)uu(-2,1) x in (-oo,-2)uu(-2,-1/2)uu(1,oo) x in (-oo,-2)uu(-1/2,1)uu(1,oo) x in (-oo,1)

Set of value of m for which a chord of slope m of the circle x^2+y^2=4 touches parabola y^2=4x is (A) (-oo , -sqrt((sqrt2 -1)/2)] uu [sqrt((sqrt2 -1)/2) , oo) (B) (-oo , -1) uu (1, oo ) (C) (-1,1) (D) (-oo , oo)

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)