13. Let A, B, C be finite sets and P C A × B and Q C B × C be relations. Which of the following statements are true? O |Po Q| < |P[ • IQI. O |Po Q| < |A| • IQI. O Po Q| < |P[ • \C]. O Po Q| < |A| • \C|.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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13. Let A, B, C be finite sets and PC A x B and Q C B × C be relations. Which of the following statements are true?
|Po Q] < |P\ • \Q]-
Po Q| < |A| · |Q].
|Po Q] < \P[ • \C]-
|P• Q] < |A| • \C].-
Transcribed Image Text:13. Let A, B, C be finite sets and PC A x B and Q C B × C be relations. Which of the following statements are true? |Po Q] < |P\ • \Q]- Po Q| < |A| · |Q]. |Po Q] < \P[ • \C]- |P• Q] < |A| • \C].-
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