Question 1
Which of the following statements is logically equivalent to the statement: 'If it rains, then the ground is wet'?
Question 2
In a direct proof, which of the following steps is typically the first one?
Question 3
Which of the following is an example of a proof by contradiction?
Question 4
Which of the following is a valid step in a mathematical induction proof?
Question 5
Consider the statement: 'For all integers $n$, if $n$ is even, then $n^2$ is even.' Which proof method is most appropriate to prove this statement?