Discrete Maths ..3..

8.Prove that given any two rational numbers r and s with r < s, there is another rational number between r and s.

9.Prove that the sum of any three consecutive integers is divisible by 3. (Two integers are consecutive if, and only if, one is one more than the other.)


10.Prove that for all integers a and b, if a | b then a2 | b2.