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In a constraint-based set, if the constraint is 'x must be a multiple of 3', whi

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Question: In a constraint-based set, if the constraint is \'x must be a multiple of 3\', which of the following numbers would be included in the set?

Options:

  1. 4
  2. 9
  3. 10
  4. 14

Correct Answer: 9

Solution: 

The number 9 is a multiple of 3, while the other options are not, making it the only valid element under the given constraint.

In a constraint-based set, if the constraint is 'x must be a multiple of 3', whi

Practice Questions

Q1
In a constraint-based set, if the constraint is 'x must be a multiple of 3', which of the following numbers would be included in the set?
  1. 4
  2. 9
  3. 10
  4. 14

Questions & Step-by-Step Solutions

In a constraint-based set, if the constraint is 'x must be a multiple of 3', which of the following numbers would be included in the set?
  • Step 1: Understand the constraint. The constraint states that 'x must be a multiple of 3'. This means that any number included in the set must be able to be divided by 3 without leaving a remainder.
  • Step 2: Identify the numbers you want to check. For this example, we will check the number 9 and other options (not specified in the question).
  • Step 3: Check if 9 is a multiple of 3. Divide 9 by 3. The result is 3, which is a whole number. Therefore, 9 is a multiple of 3.
  • Step 4: Check other numbers (if provided) to see if they are multiples of 3. For each number, divide it by 3 and see if the result is a whole number.
  • Step 5: Determine which numbers meet the constraint. If a number can be divided by 3 without a remainder, it is included in the set. In this case, only 9 meets the requirement.
  • Multiples – Understanding what it means for a number to be a multiple of another number, specifically how to identify multiples of 3.
  • Set Theory – Applying constraints to define a set and determining which elements belong to that set based on the given criteria.
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