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Question

Let A and B be defined as follows. A={n ∈ Z:n= 6r+ 1 for some r ∈ Z}. B={n ∈ Z:n= 3s+ 1 for some s ∈ Z}.

Prove or disprove each of the following.

(a)A⊆B

(b)B⊆A

(c)A=B

Top Answer

After working on your question, I... View the full answer

20200211_205355.jpg

A = SMER : 21 = 60+1, for some rez]
B = SaEZ : 1= 35+ 1, for some asEz!
let
n, EA .
Then m, = 6 + 1 ,
For some
7 n , = 1 3 x 2 x8 +1.
2 3 ( 28 , ) + 1 .
Since, r, EX then 28 EZ.
say. 27 = S, EZ....

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