Set of values ofx satisfying the inequality `(sqrt(x+7))/(x+1)>sqrt(3-x)` is

Set of values of x satisfying the inequality (sqrt(x+1))/(x+1)>sqrt(3-x) is

Complete set of values of x satisfying the inequality x-3 lt sqrt(x^2+4x-5) is

The complete set of values of x satisfying the inequality sin^(-1)(sin 5) gt x^(2)-4x is (2-sqrt(lambda-2pi), 2+sqrt(lambda-2pi)) , then lambda=

The complete set of values of x satisfying the inequality sin^(-1)(sin 5) gt x^(2)-4x is (2-sqrt(lambda-2pi), 2+sqrt(lambda-2pi)) , then lambda=

Set of all real values of x satisfying the inequation sqrt(4-x^(2))>=(1)/(x) is

The set of all x satisfying the inequality (4x-1)/(3x+1)ge1

The set of all values of x satisfying the inequality (sec^(-1)x)^(2)-7(sec^(-1)x)+12>=0 is

Number of values of x, satisfying the equation (sqrt(3)+1)^(2)x+(sqrt(3)-1)^(2)x=2^(3)x, is equal to

The number of values of x satisfying the equation sqrt(sin x) - 1/sqrt(sin x) = cos x is

The set of values of x satisfying simultaneously the inequalities sqrt((x-8)(2-x))/(log_(0.3)(10/7(log_2 5-1)))ge0 and 2^(x-3) -31 gt0 is