We have been given a universal U and a set E defined as follows.
&U={x | x is a natural number}
&E={2, 4, 6, 8, ... }We are asked to find E'. In order to do this, let's identify the elements of E that are found in the universal set. Remember, are positive .
&U={1, 2, 3, 4, 5, 6, 7, 8, ... }
Since the of a set is the set of all elements in the universal set that are not in the set, we can construct E' to be all of the elements in U that are not in E.
&E'={1, 3, 5, 7, ...}
This corresponds to answer A.