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For all sets A, B, and C, A, B, C- AU (B-C) = (AUB) - (AUC). Your answer cannot be

For all sets A, B, and C, A, B, C- AU (B-C) = (AUB) - (AUC). Your answer cannot be

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set \( U = \{ 1, 2, 3, 4, 5 \} \). (Enter your answers for \( A, B, \) and \( C \) in roster notation as a comma-separated list of sets. Enter EMPTY or Ø for the empty set.) For all sets \( A, B, \) and \( C \): \[ A \cup (B - C) = (A \cup B) - (A \cup C) \] \[ A, B, C = \] *Your answer cannot be understood or graded. More Information*
Transcribed Image Text:Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set \( U = \{ 1, 2, 3, 4, 5 \} \). (Enter your answers for \( A, B, \) and \( C \) in roster notation as a comma-separated list of sets. Enter EMPTY or Ø for the empty set.) For all sets \( A, B, \) and \( C \): \[ A \cup (B - C) = (A \cup B) - (A \cup C) \] \[ A, B, C = \] *Your answer cannot be understood or graded. More Information*
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