Mastering Complements and Differences in Sets

  • Grade 12th
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| Attempts: 11 | Questions: 10 | Updated: Nov 11, 2025
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1) If U={1,2,3,4,5,6}, A={2,4,6}, find A′−A.

Explanation

A′ = {1,3,5}; removing A leaves same set.

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About This Quiz
Mastering Complements And Differences In Sets - Quiz

Ever wonder what’s outside a set or what’s left over when you subtract one set from another? Complements and differences are key tools in set theory that help describe exactly that. In this quiz, you’ll practice identifying complements, finding set differences, and applying these ideas to mathematical problems. Take this... see morequiz to sharpen your set theory skills and build confidence for higher-level math.
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2) If U={a,b,c,d,e}, A={b,c,d}, B={c,d,e}, find A′−B.

Explanation

A′ = {a,e}; subtracting B leaves {a}.

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3) If A={1,2,3,4}, B={2,4}, find (A−B)′ assuming U={1,2,3,4,5,6}.

Explanation

A−B = {1,3}. Complement in U = {2,4,5,6}.

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4) If U={1,2,3,4,5,6,7}, A={1,2,3}, B={3,4,5}, find (A′ − B′).

Explanation

A′={4,5,6,7}, B′={1,2,6,7}. Difference = {4,5}.

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5) If U={1,2,3,4,5}, A={1,2,3}, B={2,3}, find (A′ − B).

Explanation

A′={4,5}. Subtracting B leaves {4,5}.

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6) If U={a,b,c,d,e,f}, A={a,b}, B={b,c,d}, find (B′ − A′).

Explanation

B′={e,f,a}, A′={c,d,e,f}. Difference = {a}.

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7) If U={1,2,3,4,5}, A={2,3}, B={3,4}, find (A−B)′.

Explanation

A−B={2}. Complement in U={1,3,4,5}.

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8) If U={1,2,3,4,5,6}, A={2,3}, find (A′ − A).

Explanation

A′={1,4,5,6}. Subtracting A leaves the same set.

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9) If U={1,2,3,4,5}, A={1,2}, B={2,3,4}, find (A−B)′.

Explanation

A−B={1}. Complement in U={2,3,4,5}.

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10) If U={1,2,3,4,5}, A={2,4}, find (A − A′).

Explanation

A′={1,3,5}. Subtracting gives {2,4}.

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If U={1,2,3,4,5,6}, A={2,4,6}, find A′−A.
If U={a,b,c,d,e}, A={b,c,d}, B={c,d,e}, find A′−B.
If A={1,2,3,4}, B={2,4}, find (A−B)′ assuming...
If U={1,2,3,4,5,6,7}, A={1,2,3}, B={3,4,5}, find (A′ −...
If U={1,2,3,4,5}, A={1,2,3}, B={2,3}, find (A′ − B).
If U={a,b,c,d,e,f}, A={a,b}, B={b,c,d}, find (B′ −...
If U={1,2,3,4,5}, A={2,3}, B={3,4}, find (A−B)′.
If U={1,2,3,4,5,6}, A={2,3}, find (A′ − A).
If U={1,2,3,4,5}, A={1,2}, B={2,3,4}, find (A−B)′.
If U={1,2,3,4,5}, A={2,4}, find (A − A′).
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