Disprove , by ind a suitable counter example , the statement ` x^(2) gt y^(2)` for all ` x gt y` .

(x)/(3) gt (x)/(2) +1

Given that x, y and b are real numbers x lt y, b gt 0, then

Find counter examples to disprove the following statements: Every rectangle is a square.

Solve 2/x gt 3

The solution of |x+(1)/(x)| gt 2 is

Find counter examples to disprove the following statements: For any integers x and y, sqrt(x^(2) + y^(2)) = x+y

Find counter examples to disprove the following statements: Two triangles are congruent if all their corresponding angles are equal.

Find counter examples to disprove the following statements: If n is a whole number then 2n^(2) + 11 is a prime .

The solution set of the inequation 2x+y gt 5 is

A function f, continuous on the positive real axis, has the property that for all choices of x gt 0 and y gt 0, the integral int_(x)^(xy)f(t)dt is independent of x (and therefore depends only on y). If f(2) = 2, then int_(1)^(e)f(t)dt is equal to