determine the sets A and B given that A-B ={1,3,7,11} B-A={2,6,8} and AnB ={4,9}
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A={1,3,7,11,4,9}
B={2,6,8,4,9} .
Step-by-step explanation:
A-B takes all elements of A and removes all elements that are in both A and B.
B-A takes all elements of A and removes all elements that are in both A and B.
So just add in the elements that are in both A and B, ie A∩B={4,9} to A-B to get A, and to B-A to get B.
So A=A−B+(A∩B)={1,3,7,11}+{4,9}={1,3,7,11,4,9} and B=B−A+(A∩B)={2,6,8}+{4,9}={2,6,8,4,9} .
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