A and B be any two sets, prove that (AUB)-A= B-A
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Let A and B be two sets
For example
A=1,2,3,4
B=2,4,5
1) AUB={1,2,3,4,5}
( AUB)-A={1,2,3,4,5} - {1,2,3,4}
={5}
2)B-A= {2,4,5}-{1,2,3,4}
={5}
From 1 and 2 AUB-A=B-A I s verified.
It is also proved in Venn diagram ,it is above, check it.
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