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.

Which of the following statements are true and which are false? s: If x and y are odd then xy is odd.

Examine whether the following statements are true or false : phi sub {x, y, z}

Using direct method prove that if x, y in N and x,y are odd then xy is also odd.

Prove that if x is odd , then x^(2) is also odd.

Examine whether the following statements are true or false : {x : x is the collection of all birds} sub {x : x is the collection of parrot}

Write the component statements of the following compound statements and check whether the compound statement is true or false: A line is straight and extends indefinitely in both directions.

Check whether the following pair of statements are negation of each other. Give reasons for your answer x + y = y + x is true for every real numbers x and y. There exists real numbers x and y for which x + y = y + x.

Rewrite each of the following statements in the form of conditional statements: The square of an odd number is odd.

Check whether the following pair of statements are negation of each other. Give reasons for your answer: (i) x+y=y+x is true for every real numbers x and y. (ii) There exists real number x and y for which x+y=y+x

Write down the contrapositive of the following statements.: If x and y are negative integers, then x.y is positive.