1. ?Prove the following statement by Contradiction.The sum of a rational number and anirrational number is irrati
1. Prove the following statement by Contradiction.The sum of a rational number and anirrational number is irrational. 2. Prove by induction that (11n–6) is divisible by 5 for every positive integer n. 3. Using induction proof, prove forinteger n>5, 4n< 2n