Question

List all the elements of the following set. Use set notation and the listing method to describe the set. (5,9,13,...,33) Express the set using set notation and the listing method.

A. {5, 9, 13, 17, 21, 25, 29, 33}
B. {5, 9, 13, ..., 33}
C. {5, 9, 13, 33}
D. {5, 9, 13}

Answer 1

The correct list of elements for the set (5,9,13,...,33) is {5, 9, 13, 17, 21, 25, 29, 33}, denoted as option A. Option B, {5, 9, 13, ..., 33}, correctly uses set notation to express the same set with an ellipsis.

Step-by-step explanation:

The given set (5,9,13,...,33) suggests a pattern where each number is 4 more than the previous number, starting with 5 and ending with 33. To list all the elements of this set using the listing method and in set notation, you begin with the first term and continue adding 4 each time until you reach the last term specified, which is 33 for this particular set.

The correct representation of the set using the listing method is:

A. {5, 9, 13, 17, 21, 25, 29, 33}

and the set expressed using set notation with an ellipsis to indicate the continuation of the pattern is:

B. {5, 9, 13, ..., 33}

Therefore, the answer that includes all elements of the set using the listing method is A.