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

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Question: 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?

Options:

  1. 9
  2. 10
  3. 15
  4. 31

Correct Answer: 9

Solution: 

9 is a multiple of 3 and less than 30, making it a valid element of the defined set.

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

Practice Questions

Q1
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?
  1. 9
  2. 10
  3. 15
  4. 31

Questions & Step-by-Step Solutions

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.
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