Question

The zip code of a location consists of five digits chosen from the set Z shown below.
Z = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

The set R represents the digits in the zip code for Rubonia.
R = {3, 4, 2, 2, 1}

The set S represents the digits in one of the zip codes for Sarasota.
S = {3, 4, 2, 4, 3}

How many prime numbers are in the set ~ (R ∪ S)?

Answer 1

First, you need to find the set ~(R \(\cup\) S). Ton find this, find the elements in R \(\cup\) S.As it happens, R \(\cup\) S={1, 2, 3, 4}. Thus, ~(R \(\cup\) S)={1, 5, 6, 7, 8, 9}.

In this set, there are only two prime numbers; 5, and 7.

Answer 2

Excuse me, I should have said that ~(R ∪ S)={0, 5, 6, 7, 8, 9} That 1 I put was a typo.

However, the answer is the same.

Answer 3

Thank you @kinggeorge

Answer 4

You're welcome.