Venn Diagrams (HSC SSCE Mathematics Advanced): Quizzes

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Venn Diagrams
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What shape represents the universal set in a Venn diagram?

A rectangle

What does the overlapping region of two circles represent?

A∩BA \cap B (intersection)

What does A∪BA \cup B include?

Elements in AA or BB (or both)

What is the complement A‾\overline{A}?

Elements in UU not in AA

What is the cardinality rule for unions?

∣A∪B∣=∣A∣+∣B∣−∣A∩B∣|A \cup B| = |A| + |B| - |A \cap B|

Why do we subtract ∣A∩B∣|A \cap B| in the cardinality rule?

To avoid counting shared elements twice

What does 'disjoint circles' mean in a Venn diagram?

Sets have no elements in common

What logic operation is intersection similar to?

AND

If ∣A∣=22|A|=22, ∣B∣=18|B|=18, ∣A∩B∣=8|A \cap B|=8, what is ∣A∪B∣|A \cup B|?

3232

When solving problems, what should you place first in the Venn diagram?

The intersection value

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