Practice Difference Of Relations (18.3) - Operations on Relations - Discrete Mathematics - Vol 1
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Difference of Relations

Practice - Difference of Relations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Think about combining all pairs.

Question 2 Easy

If R1 = {(1, 2)} and R2 = {(1, 2)} then what is R1 ∩ R2?

💡 Hint: Look for pairs that are in both sets.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which operation will yield all pairs (x, y) where x is not equal to y?

Union
Intersection
Difference

💡 Hint: Remember what happens when you collect all unique pairs.

Question 2

True or False: The intersection of R1 and R2 can never be empty.

True
False

💡 Hint: Consider examples where sets do not share elements.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given relations R1 = {(1, 2), (3, 4)} and R2 = {(2, 3), (4, 5)}, compose the two relations and find R1 o R2.

💡 Hint: Trace the paths to find the pairs that link through common elements.

Challenge 2 Hard

Construct the reflexive closure for the relation R = {(1, 2), (2, 3)} on set A = {1, 2, 3}.

💡 Hint: Ensure every element in A links to itself.

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