Suppose U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and Q = {3, 6, 9}. What is Q'? (1 point) Responses {3, 6, 9} {3, 6, 9} {4, 5, 7, 8} {4, 5, 7, 8} {1, 2, 4, 5, 7, 8, 10} {1, 2, 4, 5, 7, 8, 10} {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Q' is the complement of set Q within the universal set U.
Since Q = {3, 6, 9}, Q' will consist of all the elements in U that are not in Q.
Therefore, Q' = {1, 2, 4, 5, 7, 8, 10}
To find the complement of set Q, denoted as Q', we need to identify all the elements in the universal set U that are not in Q.
Given that U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and Q = {3, 6, 9}, we can determine Q' as follows:
1. Begin with the universal set U.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. Remove the elements from Q.
U - Q = {1, 2, 4, 5, 7, 8, 10}
Therefore, Q' (the complement of Q) is {1, 2, 4, 5, 7, 8, 10}.
Thus, the correct answer is {1, 2, 4, 5, 7, 8, 10}.
To find Q', which is the complement of set Q, you need to find all the elements in the universal set U that are not in set Q.
Step 1: Write down the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and set Q = {3, 6, 9}.
Step 2: Compare the elements of set Q with the elements of the universal set U.
Step 3: Write down all the elements of the universal set U that are not in set Q. These elements will make up the complement Q'.
In this case, the elements in Q are {3, 6, 9}. The elements not in Q are {1, 2, 4, 5, 7, 8, 10}. Therefore, Q' = {1, 2, 4, 5, 7, 8, 10}.