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In a scenario where a set is defined by the constraints of being both a multiple

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Question: In a scenario where 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. 27
  2. 31
  3. 15
  4. 10

Correct Answer: 27

Solution: 

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

In a scenario where a set is defined by the constraints of being both a multiple

Practice Questions

Q1
In a scenario where 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. 27
  2. 31
  3. 15
  4. 10

Questions & Step-by-Step Solutions

In a scenario where 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 elements must be multiples of 3.
  • Step 2: Understand the second constraint. The elements must also be less than 30.
  • Step 3: List the multiples of 3 that are less than 30. These are: 3, 6, 9, 12, 15, 18, 21, 24, 27.
  • Step 4: Check if 27 meets both constraints. It is a multiple of 3 and it is less than 30.
  • Step 5: Since 27 meets both constraints, it is an element of the set.
  • Multiples of a Number – Understanding how to identify multiples of a given number, in this case, multiples of 3.
  • Inequalities – Applying constraints to determine if a number meets specific conditions, such as being less than 30.
  • Set Theory – Recognizing elements that belong to a defined set based on given criteria.
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