Let A = {2, 4, 6, 8, 10} and B = {(a, b) : a divides b; a , b A}. Write the elements of B.

Asked by  | 6th Apr, 2012, 09:07: PM

Expert Answer:

In the question, we have to write the elements of the set B. By definition of set B, the elements of this set will be the ordered pairs (a, b) such that a divides b, that is, b is divisible by a. Note that here a and b are the elements of A. This means that a and b can take values 2, 4, 6, 8, and 10 only.
 
So, now to find the elements of set B,find the ordered pairs such that b is divisible by a. It can be seen that 2, 4, 6, 8, 10 are divisible by 2 and also 4 and 8 are divisible by 4.
 
Hence, B = {(2, 2), (2, 4), (2, 6), (2, 8), (2, 10), (4, 4), (4, 8)}

Answered by  | 8th Apr, 2012, 04:09: PM

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