A set is a mathematical model for a collection of diverse things; it amy comprises of elements or members. The set {A∪B}∩{B∩C'} will be equal to {4,7}.
What is a set?
A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
The following sets are given,
- U = {3, 4 , 5 , 6 , 7 , 8 , 9 , 10}
- A = {4, 6, 8}
- B = {3, 4, 7, 8}
- C = {3, 5, 9}
A∩B means the number should be in either set A or set B. Therefore, we can write,
{A∪B} = {3 , 4 , 6 , 7 , 8}
B∩C' means the number should be in ser B, but should not be in set C. Therefore, we can write,
{B∩C'} = {4, 7, 10}
{A∪B}∩{B∩C'} means that both the sets {A∪B} and {B∩C'} should contain the digits,
{A∪B}∩{B∩C'} = {4, 7}
Hence, the set {A∪B}∩{B∩C'} will be equal to {4,7}.
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