Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.

Use proof by contradiction to prove that if for an integer a, a^2 is even, then so is a.

The contrapositive of " If x in A nn B then x in A and x in B is

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

Write the converse and contrapositive of the statement " If x is a prime number then x is odd "

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

Which of the following pairs of sets are disjoint { x : x is an even integer } and { x : x is an odd integer}

Examine whether the following statements are true or false: { x : x is an even natural number less than 6} ⊂ { x : x is a natural number which divides 36}

State whether the following statements are true or false. Give reasons for your answers. The sum of two even number is even .

Examine whether the following statements are true or false: { a, e } ⊂ { x : x is a vowel in the English alphabet}

The statement ' If x ^ 2 is not even then x is not even ' converse is