Let n be a natural number and let a, b, c, and d be integers. Prove the following proposition using congruence modula n where n is a natural number.
1-If a≡b (mod n) and c≡d (mod 8) then (a+c)≡(b+d)(mod n)
2-If a≡b (mod n) and c≡d (mod n), then ac≡ bd (mod n).
If a and b are integers, we will use the notation a≡ b (mod n) to mean that (a) is not congruent to b Modula n.
1-write the contrapositive of the following contidional statement:
For all integers a and b, if a ≡ b (mod 6) and b ≡0 (mod 6) then ab ≡ 0 (mod 6)
2- Is this statement true or false? Please explain
2007-01-16
12:41:34
·
1 answers
·
asked by
aaachooooo
1
in
Mathematics