If the universal set U = the set of all positive odd integers less than or equal to 11 and E = {1,3,5,7}, what is E'?
To find the complement of a set, denoted by a prime symbol ('), you need to find all the elements that are not in the given set.
In this case, the set E contains the elements {1, 3, 5, 7}. So, to find the complement of E, or E', we need to find the set of all positive odd integers less than or equal to 11 that are not in E.
First, let's list all the positive odd integers less than or equal to 11:
1, 3, 5, 7, 9, 11
Then, we can identify the elements that are not in E. Looking at the list of positive odd integers, the numbers that are not in E are 9 and 11.
Therefore, E' = {9, 11}.
E' is everything in U that is not in E.
So, which odd numbers in U are you missing?