Subjects algebra

Relation Ordered Pairs 6B4130

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Relation Ordered Pairs 6B4130


1. The problem asks to represent the relation shown in the arrow diagram as a set of ordered pairs. 2. The arrow diagram shows arrows from numbers to houses: 3 to House Q, 4 to House R, 1 to House P, and 5 to House S. 3. In ordered pairs, the first element is the input (number), and the second is the output (house). 4. So the relation as ordered pairs is $\{(3, \text{House Q}), (4, \text{House R}), (1, \text{House P}), (5, \text{House S})\}$. 5. Looking at the options, option c is $\{(1, \text{House P}), (3, \text{House Q}), (4, \text{House R}), (5, \text{House S})\}$ which matches the relation but with the pairs reordered by the first element. 6. Since sets are unordered, option c correctly represents the relation. 7. Therefore, the correct answer for question 1 is option c. --- 8. The second problem asks to represent the relation from the graph showing distances jogged by students as ordered pairs. 9. The graph shows distances: Josh=8, Koko=5, Tony=4, Shadi=11, Jodi=7. 10. The ordered pairs should be (student, distance), so $\{(\text{Josh}, 8), (\text{Koko}, 5), (\text{Tony}, 4), (\text{Shadi}, 11), (\text{Jodi}, 7)\}$. 11. Option a matches this exactly. 12. Therefore, the correct answer for question 2 is option a. Final answers: - Question 1: c - Question 2: a