If x and y are integers, then prove that the statements
if xy is odd then both x and y are odd".

Check whether the following statement is true or false by proving its contrapositive : “If x, y in Z , such that xy is odd, then both x and y are odd.”

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

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.

Prove that the product of two odd numbers is odd.

Using the words necessary and sufficient rewrite the statement. The integer n is odd if and only if n^2 is odd Also choice whether the statement is true.

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

Write the converses of the following statements. Also, devide in each case whether the converse is true or false. : If an integer is odd, then its square is an odd integer.

Check whether the following statement is true or not : “If x, y in N are such that x and y are even, then xy is even.”

Prove that the locus of a point that is equidistant from both axis is y=x.

Write all odd integers between -9 and 9.