The range of `x` for which `(0. 5)^(2-3x)<(2^x)^x(0. 25)^(x+4)` is

The range of values of x for which, x^(2)+6x-27gt0, -x^(2)+3x+4 gt0 hold simultanceously is

The range of x for which the expansion of (4+5x)^(-7//2) is valid

A function is defined as follows: f(x) = {:(3x + 5, for -4lex<0) , (5-3x, "for" 0

Find the range of x for which the following expansions are valid . (3+ (5x^(2))/(3))^(-3//7)

The exhaustive range of a for which the point (a,0) lies inside the triangle formed by the lines y+3x+2=0 , 3y-2x-5=0 and 4y+x-14=0 is

Find the range of a for which the equation ax^(2)+3x+4>0

The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) - 5x + 6 lt 0 is

The range of values of x which satisfy 5x + 2 lt 3x +8 and (x+2)/( x-1) < 4 are

Find the range of values of x for which the function f(x)=2x^(3)-9x^(2)-24 x+5 increases with x