
### Instruction: help me answer this question Show that the statement \"If x is an integer and x2 is even, then x is also even\" is true by the method of contrapositive., think step by step
### Assistant: The question asks to prove the statement 'If x is an integer and x2 is even, then x is also even' using the contrapositive method. To prove the statement p, we assume that the statement r is false, i.e., x is not even, and prove that q is also false, i.e., x is not an integer or x2 is not even. , The answer is Let p: If x is an integer and x2 is even, then x is also even.<br>Let q: x is an integer and x2 is even.<br>r: x is even<br>By the contrapositive method, we assume that r is false and prove that q is also false.<br>Hence, the given statement p is true.
