Suppose U = \{3, 5, 6, 8, 10, 11, 13, 17, 18\} is the universal set and A = \{3, 6, 11, 13, 17\} What is A'? Choose the correct answer. OA. \{5, 8, 10, 18\} O C. \{5, 8, 10, 11, 18\} OB. \{3, 8, 11, 17\} OD. \{5, 6, 8, 10, 18\}
A' refers to the complement of set A, which includes all the elements in the universal set U that are not in set A. Looking at the universal set, we can see that the elements in A' are: 5, 8, 10, and 18. Therefore, the correct answer is OA. {5, 8, 10, 18}.
To find A', we need to find the complement of set A within the universal set U. The complement of A (denoted A') consists of all elements in U that are not in A.
Given that U = {3, 5, 6, 8, 10, 11, 13, 17, 18}, and A = {3, 6, 11, 13, 17}, we can find A' by subtracting A from U.
A' = U - A
Substituting the values, we have:
A' = {3, 5, 6, 8, 10, 11, 13, 17, 18} - {3, 6, 11, 13, 17}
Now let's find the elements that are not in A:
A' = {5, 8, 10, 18}
Therefore, the correct answer is option A: {5, 8, 10, 18}.
To find A', the complement of set A, we need to find all the elements in the universal set U that are not in set A.
The universal set U is given as U = {3, 5, 6, 8, 10, 11, 13, 17, 18}, and set A is given as A = {3, 6, 11, 13, 17}.
To find A', we subtract set A from the universal set U. This means we want to find all the elements in U that are not in A.
A' = U - A
Let's perform the set difference operation:
A' = {3, 5, 6, 8, 10, 11, 13, 17, 18} - {3, 6, 11, 13, 17}
Now, we remove the elements in set A from the universal set U:
A' = {5, 8, 10, 18}
Therefore, the correct answer is OA. A' = {5, 8, 10, 18}.