Practice Composition of Relations - 18.4 | 18. Operations on Relations | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the intersection of R1 = {(1, 2), (2, 3)} and R2 = {(2, 3), (3, 4)}?

💡 Hint: Find the common pairs present in both relations.

Question 2

Easy

If R3 = {(a, b), (b, c)} and R4 = {(b, c), (c, d)}, what is R3 ∪ R4?

💡 Hint: Combine all pairs from both sets.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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

Question 1

The union of two relations R and S includes pairs where:

  • R pairs only
  • S pairs only
  • Pairs in either R or S

💡 Hint: Remember what union means in set theory.

Question 2

True or False: The intersection of R1 and R2 can be empty if both relations are completely disjoint.

  • True
  • False

💡 Hint: Think about what intersection means.

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Challenge Problems

Push your limits with challenges.

Question 1

Given R = {(1, 2), (2, 3), (3, 4)} and S = {(2, 3), (3, 5)}, compute R o S and explore the meaning behind it.

💡 Hint: Think about how pairs connect to meet through mutual relationships.

Question 2

Construct and explain the symmetric closure of R = {(1, 2), (2, 3)}.

💡 Hint: Consider what happens to asymmetric relations!

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