If a set is defined by the constraints of being both a multiple of 3 and less th

If a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?

If a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?

Step 1: Understand the constraints of the set. The set includes numbers that are multiples of 3 and also less than 30.
Step 2: Identify what a multiple of 3 is. A multiple of 3 is any number that can be divided by 3 without leaving a remainder (e.g., 3, 6, 9, 12, etc.).
Step 3: List the multiples of 3 that are less than 30. These numbers are: 3, 6, 9, 12, 15, 18, 21, 24, 27.
Step 4: Check if 9 is in the list of multiples of 3 that are less than 30. Since 9 is in the list, it meets both criteria.
Step 5: Conclude that 9 is an element of the defined set.

Multiples of a Number – Understanding what it means for a number to be a multiple of another number, specifically multiples of 3.
Inequalities – Understanding the concept of numbers being less than a certain value, in this case, 30.
Set Definition – Defining a set based on specific criteria and identifying elements that meet those criteria.