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In a constraint-based set, if the constraints are 'x is a multiple of 3 and x &g

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Question: In a constraint-based set, if the constraints are \'x is a multiple of 3 and x > 0\', which of the following is NOT an element of this set?

Options:

  1. 3
  2. 6
  3. 9
  4. 10

Correct Answer: 10

Solution: 

10 is not a multiple of 3, hence it does not satisfy the constraints of the set.

In a constraint-based set, if the constraints are 'x is a multiple of 3 and x &g

Practice Questions

Q1
In a constraint-based set, if the constraints are 'x is a multiple of 3 and x > 0', which of the following is NOT an element of this set?
  1. 3
  2. 6
  3. 9
  4. 10

Questions & Step-by-Step Solutions

In a constraint-based set, if the constraints are 'x is a multiple of 3 and x > 0', which of the following is NOT an element of this set?
  • Step 1: Understand the constraints given in the question. The constraints are: 'x is a multiple of 3' and 'x > 0'.
  • Step 2: Identify what it means for a number to be a multiple of 3. A multiple of 3 is any number that can be divided by 3 without leaving a remainder.
  • Step 3: List some examples of multiples of 3: 3, 6, 9, 12, etc.
  • Step 4: Check the second constraint, which states that x must be greater than 0. This means we only consider positive multiples of 3.
  • Step 5: Now, look at the number 10. We need to check if 10 is a multiple of 3.
  • Step 6: Divide 10 by 3. The result is approximately 3.33, which is not a whole number. This means 10 is not a multiple of 3.
  • Step 7: Since 10 does not satisfy the first constraint of being a multiple of 3, it cannot be an element of the set defined by the constraints.
  • Multiples of a Number – Understanding what it means for a number to be a multiple of another number, specifically multiples of 3 in this case.
  • Inequalities – Understanding the implications of the constraint 'x > 0' which restricts the set to positive integers.
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