Question

K List all the elements of the following set. Use set notation and the listing method to describe the set (42, 39, 36,..., 21) *** Express the set using set notation and the listing method. {}} (Use a comma to separate answers as needed. Use descending order.) v an example Get more help - Clear all​

Answer 1

The set (42, 39, 36,…, 21) consists of the multiples of 3 that are between 21 and 42, inclusive. Using set notation and the listing method, we can write the set as:

{42, 39, 36, …, 21} = x

The curly braces indicate that we are describing a set. The vertical bar means “such that”. The expression on the left of the bar is the variable x, which represents any element of the set. The expression on the right of the bar is the condition that x must satisfy to be in the set. This method of describing a set is called set-builder notation1. It is useful when the set has too many elements to list them all explicitly.

Explanation: