Question

Two people were asked if they smoke regularly, and the number of people answering affirmatively is recorded. Give your answer using set notation.

(a) 1, 2
(b) 0, 1
(c) 2
(d) 1

Answer 1

Set notation is used to represent a collection of objects by listing them within curly braces. For the student's question regarding the number of people smoking regularly, the sets are listed as (a) {1, 2}, (b) {0, 1}, (c) {2}, and (d) {1}. Each set corresponds to a different group of respondents.

Step-by-step explanation:

The student's question involves set notation, which is a way of representing a collection of objects. In the context of the question, the 'objects' are the number of people who answered affirmatively to the question about whether they smoke regularly. To express the given responses using set notation, we will simply list the numbers within curly braces, which denote a set.

• (a) {1, 2}
• (b) {0, 1}
• (c) {2}
• (d) {1}

Each option is a separate set, containing the respective number of people who said 'yes' to smoking regularly. Note that in set notation, each distinct object is listed only once and order does not matter.