MathematicsChapter 3: Sets and Relations
The Seven Regions
Label them. 'A and B but not C' is the lens without the centre.
Learning objectives
- Define and explain the seven regions.
- Apply the seven regions to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Label them. 'A and B but not C' is the lens without the centre. 'Only A' is A minus both others. Students dump the given 'n(A n B)' into the pairwise lens without subtracting the centre — that double-counts.
Where / symbols
- The Seven Regions
- Label them. 'A and B but not C' is the lens without the centre. 'Only A' is A minus both others. Students dump the given 'n(A n B)' into the pairwise lens without subtracting the centre — that double-counts.
Overview
Learn the idea, then use it:
Core Understanding
Label them. 'A and B but not C' is the lens without the centre. 'Only A' is A minus both others. Students dump the given 'n(A n B)' into the pairwise lens without subtracting the centre — that double-counts.
Examples not C still in A n B · subtract the centre · fill from the centre · THE SEVEN REGIONS: Label them. 'A and B but not C' is the lens without the centre. 'Only A' is A minus both others. Students dump the given
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 — THE SEVEN REGIONS
Label them. 'A and B but not C' is the lens without the centre. 'Only A' is A minus both others. Students dump the given 'n(A n B)' into the pairwise lens without subtracting the centre — that double-counts.
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 the seven regions with a neighbouring idea that uses a different definition, rule, or method.
Key points
- not C still in A n B
- subtract the centre
- fill from the centre
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.The Seven Regions
Sticky Notes · Quick Revision
Core Idea
- Label them.
Key Points
- not C still in A n B
- subtract the centre
- fill from the centre
Simple Check
- Explain the seven regions 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 the seven regions 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
- Label them.
- not C still in A n B
- subtract the centre
- fill from the centre
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