Let the set of integers be the Universal set and Z = {. ., -4 , -2, 0, 2, 4, . .}, then Z' will be:
Question
Let the set of integers be the Universal set and Z = {. ., -4 , -2, 0, 2, 4, . .}, then Z' will be:
Solution
The set Z' is the complement of set Z in the universal set of integers. The complement of a set includes all the elements in the universal set that are not in the original set.
Given that Z = {. ., -4 , -2, 0, 2, 4, . .}, it includes all even integers (both positive and negative, including zero).
Therefore, Z' will include all the integers that are not in Z, which means all the odd integers (both positive and negative).
So, Z' = {. ., -3, -1, 1, 3, . .}.
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