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Which of the following statements about constraints in set theory is FALSE?

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Question: Which of the following statements about constraints in set theory is FALSE?

Options:

  1. Constraints can be both inclusive and exclusive.
  2. Constraints can change the nature of the set.
  3. All constraints must be numerical.
  4. Constraints help in defining subsets.

Correct Answer: All constraints must be numerical.

Solution: 

The statement that \'all constraints must be numerical\' is false; constraints can be based on various properties, not just numerical.

Which of the following statements about constraints in set theory is FALSE?

Practice Questions

Q1
Which of the following statements about constraints in set theory is FALSE?
  1. Constraints can be both inclusive and exclusive.
  2. Constraints can change the nature of the set.
  3. All constraints must be numerical.
  4. Constraints help in defining subsets.

Questions & Step-by-Step Solutions

Which of the following statements about constraints in set theory is FALSE?
  • Step 1: Understand what constraints are in set theory. Constraints are rules or conditions that limit the elements in a set.
  • Step 2: Identify the types of constraints. They can be numerical (like 'greater than 5') or based on other properties (like 'color is red').
  • Step 3: Analyze the statement 'all constraints must be numerical'. This suggests that only numerical conditions can be constraints.
  • Step 4: Realize that this statement is incorrect because constraints can also be based on non-numerical properties.
  • Step 5: Conclude that the statement about all constraints being numerical is false.
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