Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set, and P={1,4,9}. What is P'?
A. {2,3,5,6,7,8}
B. {2,4,6,8}
C. {1,2,3,4,5,6,7,8,9,10}
D. {2,3,5,6,7,8,10}
Is the answer D?
Thank you
To find the complement of a set, we need to find all the elements in the universal set that are not in the given set.
In this case, the complement of set P, denoted as P', would contain all the elements in the universal set U that are not in set P.
Given set P = {1, 4, 9}, the elements that are not in set P are: 2, 3, 5, 6, 7, 8, 10.
Therefore, the answer is D. {2, 3, 5, 6, 7, 8, 10}
To find the complement of a set, you need to find all the elements in the universal set that are not in the given set. In this case, the universal set is U={1,2,3,4,5,6,7,8,9,10}, and the given set is P={1,4,9}.
To find P', we need to find all the elements that are NOT in P. In other words, we need to find all the elements in U that are not in P.
To do this, we can simply subtract the elements of P from U.
U - P = {2,3,5,6,7,8,10}
Therefore, P' = {2,3,5,6,7,8,10}.
So, the correct answer is D.