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

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6 sample questions

Question 1.
What is the result of the union of R1 = {(1, 2)} and R2 = {(2, 3)}?
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Think about combining all pairs.
Question 2.
If R1 = {(1, 2)} and R2 = {(1, 2)} then what is R1 ∩ R2?
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Look for pairs that are in both sets.
3Question 3.
Which operation will yield all pairs (x, y) where x is not equal to y?
- Union
- Intersection
- Difference
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Remember what happens when you collect all unique pairs.
4Question 4.
True or False: The intersection of R1 and R2 can never be empty.
- True
- False
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Consider examples where sets do not share elements.
Question 5.
Given relations R1 = {(1, 2), (3, 4)} and R2 = {(2, 3), (4, 5)}, compose the two relations and find R1 o R2.
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Trace the paths to find the pairs that link through common elements.
Question 6.
Construct the reflexive closure for the relation R = {(1, 2), (2, 3)} on set A = {1, 2, 3}.
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Ensure every element in A links to itself.

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