For any real positive value of x, show that `3-xcancelgt7/(x+2)`.

show that for any real values of x3-x is not greater than 7/(x+2)

If 2f(x) + 3f(-x) = 15 - 4x for all real values of x , then show that f(x) = 3 + 4x.

If ((x-5)(x^2-2x+1))/((x-7)(x^2+2x+3)) is positive for all real values of x, show that x has no value between 5 and 7.

For any real value of x the maximum value of 8x - 3x^2 is

If x, y are positive real numbers such that xy = 1 then show that the minimum value of x + y is 2.

If x and y are positive real numbers such that x^(2)y^(3)=32 then the least value of 2x+3y is

If x and y are positive real numbers such that x^(2)y^(3)=32 then the least value of 2x+3y is

Find all possible values of 'a' for which the expression (x^(2)-7x+5)/(5x^(2)-7x+a) may be capable of all values,x being any real quantity

Let x be a positive real number such that sin(arctan\ (x)/(2))=(x)/(3) . The value of (log_(5)x) is equal to