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Relation

Relation. What will you learn?. Definition of relation Expressing relation. Definition of Relation. Dina likes to eat strawberry and watermelon. Ani likes to eat pineapple. Cika likes to eat watermelon. If set A = { Dina, Ani, Cika} and set B = {strawberry, pineapple, watermelon}

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Relation

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  1. Relation

  2. What will you learn? Definition of relation Expressing relation

  3. Definition of Relation Dina likes to eat strawberry and watermelon . Ani likes to eat pineapple Cika likes to eat watermelon If set A = { Dina, Ani, Cika} and set B = {strawberry, pineapple, watermelon} A relation among the elements of the set A and the elements of set B can be built. The relation from set A to set B is “likes to eat”

  4. Definition of Relation Relation from set A to set B is a rule for pairing the elements of the set A with the elements of the set B.

  5. Expressing Relations • Arrow Diagrams • Cartesian Diagrams • Sets of Ordered Pairs

  6. Arrow Diagrams A Likes to eat B Dina Ani Cika Strawberry Pineapple Watermelon

  7. Cartesian Diagrams B Watermelon Pineapple Strawberry A Dina Ani Cika

  8. Sets of Ordered Pairs {(Dina,strawberry), (Dina,watermelon), (Ani,pineapple),(Cika, watermelon)}

  9. Domain, Codomain, Range On previous example, Set A is domain Set B is codomain The elements of B (codomain) which haspair fromdomain make the set called range

  10. Example Given : Set A = { 2, 3, 4} Set B = { 2, 4, 6} “less than” is the relation that connect the set A to the set B. Express those relations by: 1. Arrow Diagram 2. Cartesian Diagram 3. Sets of Ordered Pairs

  11. A B 2 3 4 2 4 6 Answer Arrow diagram Less than

  12. Cartesian diagram B 6 4 2 A 2 3 4 Sets of Ordered Pairs {(2, 4), (2,6), (3, 4), (3, 6), (4, 6)}

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