If A={x:x=n, n∈N, 5≤n<9},
B={3,4,5,6} and
C={x=2n, n∈N, n<5}, then
B∪(A∩C)= ___.
{3,4,5,6,8}
Writing the given sets in roster form, we get
A={5,6,7,8}
B={3,4,5,6}
C={2,4,6,8}.
Using distributive property, we have B∪(A∩C)=(B∪A)∩(B∪C).
={3,4,5,6,7,8}∩{2,3,4,5,6,8}
={3,4,5,6,8}