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Prove or disprove: Let A be a finite set with

Chapter 5, Problem 17

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QUESTION:

Prove or disprove: Let A be a finite set with |A| = n 2. There exists no equivalence relation R on A with |R| = n + 1.

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QUESTION:

Prove or disprove: Let A be a finite set with |A| = n 2. There exists no equivalence relation R on A with |R| = n + 1.

ANSWER:

Step 1 of 3

The given equation is: open vertical bar A close vertical bar equals n greater than 2.

Use the commutative property to reorder the terms:

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