Choose the correct description of Equivalence relation.
Difficulty: Hard
About this MCQ
This Hard Discrete Mathematics question asks: Choose the correct description of Equivalence relation. The correct choice is A. A relation that is reflexive, symmetric, and transitive.. Read the options below, commit to one, then use the explanation to see why that choice holds and why the others do not.
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- A. A relation that is reflexive, symmetric, and transitive. ✓
- B. The number of edges connected to a given vertex in a graph.
Why not B: “The number of edges connected to a given vertex in a graph.” does not fit this question. The answer is A relation that is reflexive, symmetric, and transitive..
- C. A logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement.
Why not C: “A logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement.” does not fit this question. The answer is A relation that is reflexive, symmetric, and transitive..
- D. A set operation that combines all elements from two or more sets into a single set without duplication.
Why not D: “A set operation that combines all elements from two or more sets into a single set without duplication.” does not fit this question. The answer is A relation that is reflexive, symmetric, and transitive..
Correct answer
A. A relation that is reflexive, symmetric, and transitive.
Explanation
A relation that is reflexive, symmetric, and transitive. (option A) is the accepted answer to “Choose the correct description of Equivalence relation.”. Option B (The number of edges connected to a given vertex in a graph.) does not fit this question. Option C (A logical statement formed by negating and reversing both the hypothesis and conclusion of a conditional statement.) does not fit this question. Option D (A set operation that combines all elements from two or more sets into a single set without duplication.) does not fit this question. For this Discrete Mathematics question, the accepted answer is A relation that is reflexive, symmetric, and transitive..
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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