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.

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.

Write the component statement of each of the following statements. Also check whether the statement are true or not. i. if DeltaABC is equilateral, then it is isosceles. ii if x and y are integers, then xy is an irrational number.

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 .

State whether the following statement is true or false. Give reasons for your choice. The coefficient of x^(2) in the polynomial p(x)=3x^(3)-4x^(2)+5x+7 is 2

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