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Exercise 16

Avg difficulty 2.5

Are there sets AA and BB such that ∣A∣=∣B∣|A| = |B|, ∣A∪B∣=10|A\cup B| = 10, and ∣A∩B∣=5|A\cap B| = 5? Explain.

Hammond, Discrete Math for Shockers, §1.2 Sets, Exercise 16

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.