Suppose U = {1,2,3,4,5,6,7,8,9,10} is the universal set and Q = {3,6,9}. What is Q’?
Q' is the complement of set Q, which means it includes all the elements in the universal set U that are not in set Q.
To find Q', we subtract set Q from the universal set U.
Q' = U - Q
In this case, set U consists of the numbers from 1 to 10, and set Q consists of the numbers 3, 6, and 9.
So, Q' includes all the numbers from 1 to 10 except for 3, 6, and 9.
Therefore, Q' = {1, 2, 4, 5, 7, 8, 10}.
To find Q', which is the complement of set Q, we need to find all the elements in the universal set U that are not in set Q.
Given that U = {1,2,3,4,5,6,7,8,9,10} and Q = {3,6,9}, the complement of Q, denoted as Q', is equal to all the elements in U minus the elements in Q.
So, to find Q', we subtract the elements in Q from the elements in U:
Q' = U - Q
= {1,2,3,4,5,6,7,8,9,10} - {3,6,9}
To subtract the elements, we remove all the elements in Q from U:
Q' = {1,2,4,5,7,8,10}
Therefore, Q' = {1,2,4,5,7,8,10}.
To find Q', also known as the complement of set Q, we need to determine all the elements in the universal set U that are not in the set Q.
Set Q = {3, 6, 9}
The universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
To find Q', we need to subtract Q from U.
Q' = U \ Q
To compute the difference of sets U and Q, we remove all the elements of Q from U, so we eliminate the common elements.
Q' = {1, 2, 4, 5, 7, 8, 10}
Therefore, Q' (the complement of Q) is {1, 2, 4, 5, 7, 8, 10}.