SOLUTION: . Find the difference between the number of elements in the union and the intersection of the following sets: M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}

Algebra ->  sets and operations -> SOLUTION: . Find the difference between the number of elements in the union and the intersection of the following sets: M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}       Log On


   



Question 826033: . Find the difference between the number of elements in the union and the intersection of the following sets: M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}

Answer by MathLover1(20849) About Me  (Show Source):
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Find the difference between the number of elements in the union and the intersection of the following sets:
M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}
the union is : M U N= {2,4,6,8,10,12} U {1,3,5,7,9,11}={1,2,3,4,5,6,7,8,9,10,11,12}
the number of elements in union is 12
the intersection is: M ∩ N= { 0 }...there is no same elements in the set M that belong to set N
so, the cardinality (count of elements in a set) is zero

and answer to your question, the difference between the number of elements in the union and the intersection of the following sets: M = {2, 4, 6, 8, 10, 12} and N = {1, 3, 5, 7, 9, 11}, is 12-0=12