2. Proof Techniques I
Counterexamples — Quiz
Test your understanding of counterexamples with 5 practice questions.
Practice Questions
Question 1
What is a counterexample in mathematics?
Question 2
Which number is a counterexample to the statement 'All even numbers are divisible by $4$'?
Question 3
Which number is a counterexample to the statement 'Every prime number is odd'?
Question 4
Which type of statement can be disproved by a single counterexample?
Question 5
Suppose a statement has the form 'If $P$, then $Q$.' What must a counterexample satisfy?