Practice Proofs in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A mathematical proof is a rigorous logical argument that demonstrates the truth of a statement beyond doubt, proceeding from accepted axioms and previously proven results through valid inference rules.
It is not guessing the answer; it is proving why the answer must be true.
Example 1
easyProve directly: The sum of two even integers is even.
Example 2
mediumProve directly: For any integer n, if n is odd then n^2 is odd.
Example 3
mediumProve: The product of two odd integers is odd.
Example 4
mediumProve directly: if n is even, then n+1 is odd.