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Mathematics Worksheet

🔗 Relations

Chapter: Discrete Mathematics · Level ★★★ · Time: 30 min
SCORE___ / 20
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After this worksheet you can
Find the domain of a relation.Find the range of a relation.Recognise a reflexive relation.Recognise a symmetric relation.
📚 Quick Recap

A relation describes how elements from one set connect to elements of another — the mathematical way of expressing 'is related to'.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1Domain of R = {(2,5),(4,7),(6,9)}:
2Range of R = {(2,5),(4,7),(6,9)}:
3Is R = {(1,1),(2,2),(3,3)} on {1,2,3} reflexive?
4Is R = {(1,2),(2,1),(1,1),(2,2)} on {1,2} symmetric?

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5The is the set of first coordinates.
6The is the set of second coordinates.
7Find the domain of R = {(2,5),(4,7),(6,9)}.
8Find the range of R = {(2,5),(4,7),(6,9)}.
9Is R = {(1,1),(2,2),(3,3)} on {1,2,3} reflexive?

🚀 Section C · Challenge ● CHALLENGE 5

10Is R = {(1,2),(2,1),(1,1),(2,2)} on {1,2} symmetric?
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 domain   6 range   7 = {2,4,6}   8 = {5,7,9}   9 = Yes  |  10 = Yes

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