If set C is defined as the set of all x such that x is a multiple of 3 and less

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Question: If set C is defined as the set of all x such that x is a multiple of 3 and less than 15, which of the following is a member of set C?

Options:

Correct Answer: 12

Solution:

Both 12 and 9 are multiples of 3 and less than 15, but 12 is the first option listed.

If set C is defined as the set of all x such that x is a multiple of 3 and less than 15, which of the following is a member of set C?

If set C is defined as the set of all x such that x is a multiple of 3 and less than 15, which of the following is a member of set C?

Step 1: Understand what a multiple of 3 is. A multiple of 3 is any number that can be divided by 3 without leaving a remainder.
Step 2: List the multiples of 3 that are less than 15. These are: 3, 6, 9, 12, and 15.
Step 3: Since we want numbers less than 15, we exclude 15 from our list. So, the multiples of 3 less than 15 are: 3, 6, 9, and 12.
Step 4: Check the options given in the question. We need to see if 12 or 9 (or any other options) are in our list.
Step 5: Both 12 and 9 are in our list of multiples of 3 that are less than 15.
Step 6: Since the question asks for a member of set C and 12 is the first option listed, we can choose 12.

Set Theory – Understanding the definition and properties of sets, specifically identifying members based on given criteria.
Multiples – Recognizing multiples of a number and applying conditions such as being less than a certain value.