Give a counter example in each case to disprove the following statements
If x and y are integers such that x +y is an
even integer then both x and y are even integers.

Find counter-examples to disprove the following statement: ) For integers a and b, sqrt (a^2 + b^2)= a+b

Find counter-examples to disprove the following statement: n^2 -n + 41 is a prime for all positive integers n

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

Check whether the following statement is true or not : “If x, y in N are such that x and y are even, then xy is even.”

Whether the following statement is true or false ? (x: x is an even prime} = {2}.

Write the negation of the following statement : s : Some even integers are prime.

Write the converse of the following statements. If a number x is even, then x^2 is also even.

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

Is the following statement is true or false? In each case give a valid reason for saying so. s: If x and y are integers such that x > y, then -x < -y.

State the converses of the following statement. In each case, also decide whether the converse is true or false.:- If n is an even integer, then 2n + 1 is an odd integer.