Venn diagrams (Edexcel GCSE Maths): Flashcards

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Venn diagrams
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Purpose of Venn diagrams

Show relationships between different groups of data

What the rectangle represents in a Venn diagram

The universal set - everyone/everything being surveyed

What circles represent in a Venn diagram

Different groups or sets

Meaning of \cap symbol

"And" - the overlap between groups (intersection)

Meaning of \cup symbol

"Or" - combining groups together (union)

Meaning of ' symbol (complement)

"Not" - everything except that group

What overlapping area represents

People who belong to both groups

Outside circles but inside rectangle meaning

People who don't belong to any of the groups

Inside circle but not overlapping meaning

People who belong to that group only

Step 1 when solving Venn diagram problems

Fill in the intersection (overlapping region) first

How to find 'only' regions after overlap

Subtract the overlap from the total for that group

How to find 'neither' region

Total surveyed minus all other regions

Meaning of DCD \cap C

People who have both a dog AND a cat

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