Check whether the statement if x and y are odd integers, then xy is an odd integer is true or false by
i. direct method
ii. Contrapositive method.
iii. Contradiction method.

Show that the statement p: ''If x is a real number such that x^(3) + 4x = 0 , then x is 0'' is true by (i) direct method, (ii) method of contradiction, (iii) method of contrapositive

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.

State whether the following statement is true/false:For any point on the x-axis its y - coordinate is zero.

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

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

whether the statement is true or false: n_(1), n_(2),...,n_(p) are p positive integers, whose sum is an even number, then the number of odd integers among them is odd.

Find the component statements of the following compound statements and check whether they are true or false. Number 3 is prime or it is odd.

Check the validity of the statements given below by the method given against it. (i) p: The sum of an irrational number and a rational number is irrational (by contradiction method). (ii) q: If n is a real number with n gt 3 , then n^(2)gt9 (by contradiction method).

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.