The exhaustive set of values of a for which inequation `(a -1)x^2- (a+1)x+ a -1>=0` is true `AA x >2` `(a) (-oo,1)` `(b)[7/3,oo)` `(c) [3/7,oo)`

The exhaustive set of values of a for which inequation -(a+1)x+a-1>=0 is true (a-1)x^(2)-(a+1)x+a-1>=0 is true AA x>2(a)(-oo,1)(b)[(7)/(3),oo)(c)[(3)/(7),oo)

[ Suppose a in R .The set of values of a for which the quadratic equation x^(2)-2(a+1)x+a^(2)-4a+3=0 has two negative roots is [ (a) (-oo,-1), (b) (1,3) (c) (-oo,1)uu(3,oo), (d) phi]]

Find the set of values of a for which the equation |x-1|^2+(a-1)|x-1|+1=0 has a solution, [2,5] b. [-3,-1] c. [0,oo) d. (-oo,-1]

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

The set of all values of ' x ' which satisfies the inequation |1-(|x|)/(1+|x|)|geq1/2 is: [-1,1] (b) (-oo,-1) (1,oo) (d) (0,1)

The set of all values of x' which satisfies the inequation |1-(|x|)/(1+|x|)|>=(1)/(2) is: [-1,1] b.(-oo,-1] c.[1,oo) d.(0,1)

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^2-1))<0 holds for all x in (-1,3) is a. (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^2-1))<0 holds for all x in (-1,3) is (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

Which of the following set of value of x satisfy the inequality x^2-4x >cot^(-1)x (-1,5) b. (0,4) c. (-oo,-1) d. (5,oo)

Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2) (b) x in (2,3) x in (-oo,2)uu(3,oo) (d) x in (3,oo)