<br/><img src="https://media.cheggcdn.com/media%2F4e9%2F4e97ea32-d39a-48ba-b3d3-3bb5c7d54e06%2Fimage" alt="[8 pts each] Prove the following statements: a) For every real number x, ifx is irrational, then x is irrational 6. (b) Use induction to show that for