Question

Giving that U={1,2,3,4,5,6,7,8,9,10} p={1,2,4,6,10} Q={2,3,6,9}
Find
(a). PUQ
(b). PNQ
(C).p'UQ'
(d).n[pUQ]
(e).p'nQ'

Answer 1

(a). PUQ refers to the union of sets P and Q. The union of sets is the combination of all distinct elements from both sets.

PUQ = {1, 2, 3, 4, 6, 9, 10}

(b). PNQ refers to the intersection of sets P and Q. The intersection of sets refers to the common elements between both sets.

PNQ = {2, 6}

(C). p'UQ' refers to the complement of set P union with the complement of set Q. The complement of a set contains all the elements that are not in the original set.

p'UQ' = {3, 5, 7, 8, 9}

(d). n[pUQ] refers to the set difference between set P union with set Q and the universal set U. It includes all the elements in P and Q that are not in the universal set U.

n[pUQ] = {}

(e). p'nQ' refers to the set difference between set P and set Q union with their complements. It includes all the elements in set P that are not in set Q, and are also not in the complement of set Q.

p'nQ' = {1, 4, 10}