Question

If A = \{ 1,2,3,4 \}, B = \{ 4,5,6,7 \},A={1,2,3,4},B={4,5,6,7}, determine the following sets:

(i)A∩B
(ii) A∪B
(iii) A\B

Answer 1

Answer:

(i) By definition,∩ tells us that we want to find the common elements between the two sets. In this case, it is 4 only. Thus A∩B = {4}.

(ii) By definition, ∪ tells us that we want to combine all the elements between the two sets. In this case, it is A ∪ B={1,2,3,4,5,6,7}.

(iii) By definition, \ tells us that we want to look for elements in the former set in that doesn't appear in the latter set. So A\B={1,2,3}.

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