1. Topic 1(COLON) Mathematical Proof and Reasoning
Lesson 1.2: Direct Proof, Contradiction And Counter-example — Quiz
Test your understanding of lesson 1.2: direct proof, contradiction and counter-example with 5 practice questions.
Practice Questions
Question 1
Which of the following is a direct proof of the statement that the sum of two even integers is always even?
Question 2
What is a counter-example to disprove the statement: 'All prime numbers are odd'?
Question 3
Which proof method is used in demonstrating that $\sqrt{2}$ is irrational?
Question 4
When proving a statement using proof by contraposition, which of the following represents that idea correctly for the statement 'If $p$, then $q$'?
Question 5
What is the first step when constructing a direct proof?