The value of the set (A∪C)'∩B is {9 , 12} .
A subfield of mathematical logic called set theory examines sets, which are essentially collections of objects.
- Set theory is a discipline of mathematics that largely addresses problems that are pertinent to mathematics as a whole, despite the fact that any kind of object can be constructed into a set.
- Set theory is founded on a simple binary relationship between an object o and a set A.
- It is written as o A if o is a part (or member) of A. Members of a set are enumerated with commas to denote separation when describing them, or a property of those parts is enclosed in braces.
- Sets can be associated by the membership relation since they are objects.
The given sets are:
U ={1,2,3,4,5,6,7,8,9,10,11,12,13}
A = {3,7,11,13}
B = {3,6,9,12,13}
C = {2,3,5,6,7,8}
Now B' = {1,2,4,5,7,8,10,11}
b) B'∩C = {2,5,7,8,}
c) A∪C = {2,3,5,6,7,8,11,13}
(A∪C)' = {1,4,9,10,12}
(A∪C)'∩B = {9 , 12}
Hence the value of the set (A∪C)'∩B is {9 , 12} .
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where 'a' is responsible for the magnitude of the function, 'b' is responsible for horizontal shift.and 'c' is responsible for vertical shift of the function. 