Suppose U = {1, 5, 7, 9, 10, 11, 15, 16, 18} is the universal set and A = {1,7,11,15,16}. What is A?
Choose the correct answer.
A. {5,9,10,18} B. {5, 9, 10, 11, 18}
C. {5, 7, 9, 10, 18} D. {1, 9, 11, 16}
The correct answer is D. {1, 9, 11, 16}
To identify the set A, we need to find all the elements in the universal set U that are also present in set A. Now, let's compare the elements of U with the elements of A.
1 is present in A.
5 is not present in A.
7 is present in A.
9 is not present in A.
10 is not present in A.
11 is present in A.
15 is present in A.
16 is present in A.
18 is not present in A.
Based on the comparison, we can conclude that set A consists of the elements {1, 7, 11, 15, 16}.
Therefore, the correct answer is D. {1, 9, 11, 16}.
To determine the elements of set A, we need to compare set A to the universal set U and identify which elements are shared by both sets.
Set A is given as A = {1, 7, 11, 15, 16}.
The universal set U is given as U = {1, 5, 7, 9, 10, 11, 15, 16, 18}.
Comparing set A to the universal set U, we can see that the numbers 1, 7, 11, 15, and 16 are present in both sets. Therefore, the elements of set A are {1, 7, 11, 15, 16}.
So, the correct answer is D. {1, 9, 11, 16}.