Question 1 1 pts If proof by contrapositive is used to prove the following statement: For every real number x, if x is irrational, then -x is also irrational. What is the hypothesis? O x is rational x is irrational. 0 -x is irrational -x is rational. Question 2 1 pts Theorem: For any two real numbers, and y, if x and y are both rational then x + y is also rational. Which facts are assumed and which facts are proven in a proof by contrapositive of the theorem? Assumed: x + y is irrational Proven: x is irrational or y is irrational Assumed: x + y is irrational Proven: x is irrational and y is irrational Assumed:x is rational ory is rational Proven: x +y is rational Assumed: x is rational and y is rational Proven: x + y is rational