Find the smallest set A such that

Question:

Find the smallest set A such that A1, 2=1, 2, 3, 5, 9">A{1, 2}={1, 2, 3, 5, 9}A∪1, 2=1, 2, 3, 5, 9.

Solution:

We have to find the smallest set A such that A1, 2=1, 2, 3, 5, 9">A{1, 2}={1, 2, 3, 5, 9}A∪1, 2=1, 2, 3, 5, 9.

The union of the two sets A & B is the set of all those elements that belong to A or to B or to both A & B.

Thus, A must be {3, 5, 9}.

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