For any integer a, argue that a + 3 > a + 2

1)For any integer a, argue that a + 3 > a + 2

3) An integer a is divisible by an integer b means there is an integer z such that a = b x z. use any properties of the integers through page 14 to prove that fir integers a,b and c such that if a is divisible by b and b is divisible by c the a is divisible by c.

4) let Z denote the set of integers let S = Z x (Z-{0}). Argue that the relation F defined by F = {((x,y),(u,v)): xv = yu}
is an equivalence on S

5) Consider the previous problem. List five members of the equivalence class (7.4)^F.

6) use the definition of addition of rational numbers to argue that
(3,4)^F + (5,6)^F = (19,12)^F

The attached files are material covered (mathch5) that we can use and
the actual questions are from the questions2.pdf

Attached file(s):

mathch5.pdf  View File

questions2.pdf  View File