Find all integers `x` for which `(5x-1)<(x+1)^2<(7x-3)dot`

The largest negative integer for which ((x-4)(x-2))/((x-1)(x-5))>0 is

Find the set of all s for which (2x)/(2x^(2)+5x+2) gt (1)/(x+10

Find all possible values of x for which for distance between the points A(x, -1) and B(5, 3) is 5 units.

The set of all points for which f(x)=|x| |x-1| + 1/( " [ " x+1 " ] ") ([x] is the greatest integer function ) is continuous is

Verify Mean Value theorem, if f(x)=x^(3)-5x^(2)-3x in the interval [a, b], where a = 1 and b = 3. Find all cin(1,3) for which f'( c) = 0.

Find all the real values of x for which (x-1)/(4x+5)lt(x-3)/(4x-3)

Find the value of x for which (5x+2),(4x-1) and (x+2) are in A.P.

Find all 'm' for which f(x)=x^(2)-(m-3)x+m>0 for all values of 'x' in [1,2]

Find the set of all x foir which (2x)/((2x^(2)+5x+2))>(1)/((x+1))

Find an integer x such that x+1=0 (ii) x+5=0