Lesson 3.1 Properties of RelationDirections: True or False (4,5,6 only) G. TRUE OR FALSE.Let P and Q be relations on A. Determine whether each statement is true or false.1. If P and Q are transitive, then PUQ is transitive._2. If P and Q are transitive, then POQ is transitive._3. If P and Q are transitive, then PoQ is transitive.4. If P is transitive, then P- is transitive.5. If P and Q are reflexive, then POQ is reflexive._6. If P and Q are reflexive, then PUQ is reflexive.7. If P and Q are reflexive, then PoQ is reflexive.8. If P is reflexive, then P-1 is reflexive.9. If P and Q are symmetric, then PNQ is symmetric._10. If P and Q are symmetric, then PUQ is symmetric._11. If P and Q are symmetric, then PoQ is symmetric.12. If P is symmetric, then P- is symmetric._13. If P and Q are antisymmetric, then PNQ is antisymmetric._14. If P and Q are antisymmetric, then PUQ is antisymmetric._15. If P and Q are antisymmetric, then PoQ is antisymmetric.

Answered: Image /qna-images/answer/47412a46-3bb6-475f-aaf7-cecbf47c7396.jpg

Answered: 4. If P is transitive, then P-1 is…

4. If P is transitive, then P-1 is transitive. 5. If P and Q are reflexive, then POQ is reflexive. 6. If P and Q are reflexive, then PUQ is reflexive.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...

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Question

Lesson 3.1 Properties of Relation

Directions: True or False (4,5,6 only)

G. TRUE OR FALSE.
Let P and Q be relations on A. Determine whether each statement is true or false.
1. If P and Q are transitive, then PUQ is transitive.
_2. If P and Q are transitive, then POQ is transitive.
_3. If P and Q are transitive, then PoQ is transitive.
4. If P is transitive, then P- is transitive.
5. If P and Q are reflexive, then POQ is reflexive.
_6. If P and Q are reflexive, then PUQ is reflexive.
7. If P and Q are reflexive, then PoQ is reflexive.
8. If P is reflexive, then P-1 is reflexive.
9. If P and Q are symmetric, then PNQ is symmetric.
_10. If P and Q are symmetric, then PUQ is symmetric.
_11. If P and Q are symmetric, then PoQ is symmetric.
12. If P is symmetric, then P- is symmetric.
_13. If P and Q are antisymmetric, then PNQ is antisymmetric.
_14. If P and Q are antisymmetric, then PUQ is antisymmetric.
_15. If P and Q are antisymmetric, then PoQ is antisymmetric.

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