Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let
A = {n ∈N| n > 50}
B = {n ∈N| n < 250}
O = {n ∈N| n is odd}
E = {n ∈N| n is even}
-B ⋃ E

Question

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let
A = {n ∈N| n > 50}
B = {n ∈N| n < 250}
O = {n ∈N| n is odd}
E = {n ∈N| n is even}
-B ⋃ E
A)infinite
B)finite

Quizplus · Accepted Answer

B ⋃ E is the set of all positive integers that are either even or less than 250. Since the set of positive integers is infinite, both B and E are infinite, and the union of infinite sets is still infinite. Therefore, B ⋃ E is infinite. A is also an infinite set since it consists of all positive integers larger than 50. Therefore, the given set is a union of two infinite sets, and it is also infinite.

Determine Whether the Given Set Is Finite or Infinite