Practice Union of Relations - 18.1 | 18. Operations on Relations | Discrete Mathematics - Vol 1
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Practice Questions

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Question 1

Easy

What is the union of two relations?

💡 Hint: Think about all unique pairs.

Question 2

Easy

What does the intersection of two empty relations represent?

💡 Hint: Consider what common elements exist.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

Which operation combines all unique pairs from two relations?

  • Union
  • Intersection
  • Difference

💡 Hint: Think about gathering relationships.

Question 2

True or False: The intersection of two disjoint sets is empty.

  • True
  • False

💡 Hint: Recall what disjoint means.

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Challenge Problems

Push your limits with challenges.

Question 1

Given three relations R₁ = {(1, 2), (2, 3)}, R₂ = {(2, 1), (3, 2)}, and R₃ = {(1, 3)}, compute the reflexive and symmetric closure of the combined relation.

💡 Hint: Reflect on what pairs ensure reflexivity and symmetry.

Question 2

If a directed graph shows edges (1 to 2), (2 to 3) and (3 to 1), find the second power of the relation and describe its properties.

💡 Hint: Track through the graph's paths as you consider powers.

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