Practice Definition And Characteristics (17.2.1)

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6 sample questions

Question 1.
Define an irreflexive relation.
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Think of self-relationships.
Question 2.
What must be true for a relation to be considered symmetric?
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Look for mutual connections.
3Question 3.
What is an irreflexive relation?
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Look at the pairs in relation.
4Question 4.
If (a, b) belongs to a symmetric relation, then which of the following must also be true?
- (b
- a) is in the relation
- (a
- b) is not in the relation
- None of the above
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Refer back to the definition of symmetry.
Question 5.
Consider the relation R defined on the set A = {1, 2, 3}: R = {(1, 2), (2, 3), (1, 3)}. Is R irreflexive and transitive?
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Check for self-involvement for irreflexivity and chain linking for transitivity.
Question 6.
Given the relation R = {(1, 2), (2, 3), (2, 1)}. Determine whether it is symmetric and explain.
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Analyze individual connections for symmetry.

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