Question

Suppose U={1,2,3,4,5,6,7,8} is the universal set and P={1,2,3,4}. What is P^c ?

Option 1: {5,6,7,8}
Option 2: {1,2,3,4,5,6,7,8}
Option 3: {1,2,3,4}
Option 4: Cannot be determined

Answer 1

The complement of set P, given P={1,2,3,4} and the universal set U={1,2,3,4,5,6,7,8}, is P^c={5,6,7,8}, which is Option 1.

Step-by-step explanation:

The complement of a set P, denoted as P^c, includes all the elements in the universal set U that are not in set P. If we are given U={1,2,3,4,5,6,7,8} and P={1,2,3,4}, then P^c is the set of elements in U that are not in P. Therefore, P^c = {5,6,7,8}, which is Option 1.The complement of set P, denoted as Pc, consists of all the elements in the universal set U that are not in set P. In this case, U = {1, 2, 3, 4, 5, 6, 7, 8} and P = {1, 2, 3, 4}. The elements in Pc are {5, 6, 7, 8}. Therefore, option 1: {5, 6, 7, 8} is the correct answer.