MathematicsChapter 3: Sets and Relations
Associative and Distributive
Associative union: (A union B) union C = A union (B union C).
Learning objectives
- Define and explain associative and distributive.
- Apply associative and distributive to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Associative union: (A union B) union C = A union (B union C). Associative intersection: (A intersect B) intersect C = A intersect (B intersect C). Distributive both ways means each operation distributes over the other, like a(b + c) but with union and intersection. Also A union A = A, and taking complement twice returns A: (A')' = A.
Mathematical form
C = A union (B union C). Associative interse
C = A intersect (B intersect C). Distributiv
A = A
Where / symbols
- Associative And Distributive
- Associative union: (A union B) union C = A union (B union C). Associative intersection: (A intersect B) intersect C = A intersect (B intersect C). Distributive both ways means each operation distributes over the other, like a(b + c) but with union and intersection. Also A union A = A, and taking complement twice returns A: (A')' = A.
Overview
Learn the idea, then use it:
Core Understanding
Associative union: (A union B) union C = A union (B union C). Associative intersection: (A intersect B) intersect C = A intersect (B intersect C). Distributive both ways means each operation distributes over the other, like a(b + c) but with union and intersection. Also A union A = A, and taking complement twice returns A: (A')' = A.
Examples Associative · Distributive · both ways · ASSOCIATIVE AND DISTRIBUTIVE: Associative union: (A union B) union C = A union (B union C). Associative intersection: (A intersect B) intersect C = A
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — ASSOCIATIVE AND DISTRIBUTIVE
Associative union: (A union B) union C = A union (B union C). Associative intersection: (A intersect B) intersect C = A intersect (B intersect C). Distributive both ways means each operation distributes over the other, like a(b + c) but with union and intersection. Also A union A = A, and taking complement twice returns A: (A')' = A.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge associative and distributive with a neighbouring idea that uses a different definition, rule, or method.
Key points
- Associative
- Distributive
- both ways
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Associative and Distributive
Sticky Notes · Quick Revision
Core Idea
- Associative union: (A union B) union C = A union (B union C).
Key Points
- Associative
- Distributive
- both ways
Simple Check
- Explain associative and distributive in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge associative and distributive with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- Associative union: (A union B) union C = A union (B union C).
- Associative
- Distributive
- both ways
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