If U={1,2,3,4,5} and B={2,4,6,8},find B^
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Answered by
1
Answer:
B^ =3,5,7,9
Step-by-step explanation:
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Answered by
1
Given, A={1,2,3,4,5},B={2,4,6,8} and C={3,4,5,6}
For the LHS:
Union of two sets will have the elements of both sets.
So, B∪C={2,3,4,5,6,8}
A−(B∪C) will have elements of A which are not in (B∪C)
So, A−(B∪C)={1} . (1)
For the RHS:
A−B will have elements of A which are not in B
So, A−B={1,3,5}
A−C will have elements of A which are not in C
So, A−C={1,2}
Intersection of two sets has the common elements of both the sets
⇒(A−B)∩(A−C)={1} . (2)
From (1) and (2), we have
A−(B∪C)=(A−B)∩(A−C)
Hence, the given expression is true
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