Equivalence Relations and Classes
Interactive Video
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Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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10 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the significance of the 12 numbers on a clock in relation to time management?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain how the concept of equivalence relation applies to the hours on a clock.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What are the three properties that a relation must satisfy to be considered an equivalence relation?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
How can we prove that a relation is reflexive using polygons as an example?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the role of the modulus operation in defining the relation R for hours on a clock?
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
In what way do the equivalence classes of hours on a clock demonstrate mutual disjointness?
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
Describe the relationship between equivalence classes and partitions of a set.
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