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.

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.

Prove that if x is odd, then x^2 is also odd

Check whether the following equations are consistent or inconsistent. 3x-y = 2 x+2y = 3

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.

Check whether the following equations are consistent or inconsistent. 2x+y = 5, 3x+4y= 6

Check whether the following equations are consistent or inconsistent. x-2y = 8 5x-10y = 10

State whether the following statements are true or false. Give reasons for your answers. Square number can be written as the sum of two odd numbers .

Check whether the following are solu tions of the equation 5x - 2y = 30 : (0, 15).

Check whether the following are solu tions of the equation 5x - 2y = 30 : (4, 10).

Check whether the following equations are consistent or inconsistent. 4x+y = 10 -3x+5y = -19