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**booper563** write the converse and contrapositive of the following statement concerning whole numbers. Decide whether each of the three statements is true, and provide a counterexample for any statemetn that is not true.

If p, then q is a conditional statement with a truth value

If q, then p is its converse

If ~p, then ~q is its inverse

If ~q, then ~p is its contrapositive

"If a and b are consecutive odd numbers, then a+b is an even number"

P = "a and b are consecutive odd numbers"

q = "a + b is an even number"

If p, then q is true. So the __contrapositive must be true__ since they are logically equivalent. The contrapositive says "If a + b is not an even number, then a and b are not consecutive odd numbers"

The converse, If q, then p, is __false__ since an even number does not have to be the sum of two consecutive odd numbers. The converse says "If a + b is an even number, then a and b are consecutive odd numbers".

8 = 1 + 7 (8 is an even number, but 1 and 7 are not consecutive odd numbers)

Please help me this question is worth 4 points and I am not sure what to do.

Or write