If x and y are integers then show that the statement x,y are odd
`rArr` xy is odd" is true.

By giving a counter example, show that the following statement is false. "If n is an odd integer, then n is prime.”

If x and y are real, show that the equation : sec^2 theta= (4xy)/(x+y)^2 is valid only when x = y ne 0 .

A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is (xy)/(1-x-y+2xy) .

Check whether the following statement is true or not If x,y in z are such that x and y are odd, then xy is odd.

Write the converse of the following statement : If a number n is odd, then n^2 is odd.

Let x and y be rational numbers. Show that xy is a rational number.

The set A= {x: x^2 =4, x is odd} is :

Write the contrapositive and converse of the following statement:- If x is a prime number, then x is odd.

Write all odd integers between -9 and 9.

State whether the following statements are True or False: All prime numbers are odd.