Question

If A=[1,2,4,8].write the set of ordered pairs having the relation “is the divisor of”.

Answer 1

Hey There!!

Here, we are given the relation "is the divisor of"

Thus, we will include ordered pairs (x,y) such that x is the divisor of y. In other words, y must be a multiple of x.

We can see that 1 divides every number. So, (1,1), (1,2), (1,4) and (1,8) will be included.


2 can divide 2, 4 and 8. So, (2,2), (2,4) and (2,8) will be included.

4 can divide 4 and 8. So,(4,4) and (4,8) will be included.

8 can only divide itself. So, (8,8) will be included.


So, we have the set as:

{(1,1), (1,2), (1,4), (1,8), (2,2), (2,4), (2,8), (4,4), (4,8), (8,8)}



Hope it helps
Purva
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