1. Prove that the product of a non-zero rational number and an irrational number is irrational.
2. Use a proof by cases to show that for any real numbers a, b and c, rnin(a, min(b, c)) = min(ntirt(a, b), c) .
3. Prove or disprove that if a and b are rational numbers then ab is also rational.
4. Prove that given a real number x, there exist unique numbers n and c such that x = n + E where n is an integer and 0 < E < 1
5. Ex. 15.1 # 5(a) (give Boolean Function in dnf only).
6. Ex. 15.2 # 4(a), 5, 8 (give Boolean Function in dnf only).