Question
Download Solution PDFIf A = {2, 3, 4, 6, 8}, B = {3, 4, 5, 10 }, C = {4, 5, 6, 8, 10} find (A∩B)∪(A∩C).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept -
In set theory, the intersection and union are basic operations.
Union of two sets is defined as a set that contains all the values that occur in both sets without repetition.
The intersection of two sets is defined as a set that contains the values which are common to both sets.
Explanation -
A∩B = {3, 4}, A∩C = {4, 6, 8}
(A∩B)∪(A∩C) = {3, 4}∪{4, 6, 8}
= {3, 4, 6, 8}
Hence option(iii) is correct.
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