let a and b be integers. (a) State the contraceptives proposition to the following statement: If a + b is an even number then both a and b are odd or both a and b are even. (b) Show that a + b is an even number if and only if both a and b are odd or both a and b are even. Can you explain it as well.

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let a and b be integers.

(a) State the contraceptives proposition to the following statement: If a + b is an even number then both a and b are odd or both a and b are even.

(b) Show that a + b is an even number if and only if both a and b are odd or both a and b are even.

Can you explain it as well. 

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