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/≡ - means not equivalent

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, using congruence modulo n where n is a natural number.
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

2007-01-18 15:26:18 · 1 answers · asked by Anonymous in Science & Mathematics Mathematics

1 answers

The contrapositive would be if ab congruent to 0 (modulo 6), then b congruent to 0 or a congruent to b (false because ab = 0 is possible with b=3 (not congruent ot 0) and a=2 (not congruent to b)

2007-01-18 15:32:47 · answer #1 · answered by Raymond 7 · 0 0

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