Question

Let U be the set of all integers from 1 to 20. Let A = {3, 6, 8, 12, 15, 18} and B = {1, 2, 3, 5, 8, 11, 15, 18, 19}. Which choice describes the set {1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20}?

A) The set of all prime numbers in U
B) The set of all even numbers in U
C) The set of all odd numbers in U
D) The set of all composite numbers in U

Answer 1

The set {1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20} can be described as the set of all odd numbers in U.

Step-by-step explanation:

The set {1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20} can be described as the set of all odd numbers in U. To determine this, we need to look at the given sets A and B and determine which numbers in U are odd.

First, let's look at set A = {3, 6, 8, 12, 15, 18}, which contains 3, 15, and 18, which are odd numbers.

Next, let's look at set B = {1, 2, 3, 5, 8, 11, 15, 18, 19}, which contains 1, 3, 5, 11, 15, and 19, which are also odd numbers.

Since all the numbers in the given set {1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20} can be found in either set A or set B, it can be concluded that the set is the set of all odd numbers in U.