Q1. Prove the following statement: for all integers a and b, if a is even and b is a multiple of 3, then ab is a multiple of 6. Hint: You can use the following definition to assist you answer Q1.

Definition:

A real number r is rational if, and only if, it can be expressed as a quotient of two integers with a nonzero denominator. A real number that is not rational is irrational. More formally, if r is a real number, then r is rational integers a and b such that r = and b 0.