Question

Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not Write your answer in standard set notation, for example {1, 2, 3, 4, 5}. Do not use the notation Bin the answer. Counting 2 itself. Find Bᶜ.

Answer 1

The complement of the set of multiples of 2 in the universal set of integers from 2 to 20 is the set of odd numbers from 3 to 19.

Step-by-step explanation:

The universal set U in this question is defined as all the integers from 2 to 20, including both 2 and 20:

U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

The set B is the set of multiples of 2:

B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

To find Bᶜ (the complement of B), we need to find the elements that are not in B but are in U:

Bᶜ = U - B = {3, 5, 7, 9, 11, 13, 15, 17, 19}