Answer:
A ∪ B = {5 , 6 , 8 , 9 , 10 , 12 , 13 , 14}
Step-by-step explanation:
The symbol of union is ∪
The symbol of intersection is ∩
In the sets A and B
A ∪ B means all elements in sets A and B without repeating
A ∩ B means the common elements in sets A and B
n(A ∪ B) = n(A) + n(B) - n(A ∩B), where n is the number of elements in the set
Now let us solve the question
∵ Set A = {5 , 6 , 8 , 10 , 12}
∴ n(A) = 5
∵ Set B = {8 , 9 , 12 , 13 , 14}
∴ n(B) = 5
The elements 8 and 12 are in the two sets
∵ There are two common elements in the two sets 8 and 12
∴ n(A ∩ B) = 2
Use the 3rd rule above to find how many elements in A ∪ B
∵ n(A ∪ B) = 5 + 5 - 2
∴ n(A ∪ B) = 8
∴ The set of A ∪ B has 8 elements
∵ A ∪ B means all elements in A and B without repeating
∴ A ∪ B = {5 , 6 , 8 , 9 , 10 , 12 , 13 , 14}
