Question

Prove or disprove that for two sets A and B, $(A \cup B)' = A' \cap B'$ and $(A \cap B)' = A' \cup B'$ where $A'$ is the complement of the set A corresponding to an universal set U.

Name: Prove or disprove that for two sets A and B, (A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B' where A' is the complement of the set A corresponding to an universal set U.
Uploaded: 2022-05-10T21:05:59-08:00
Duration: 1 min 31 s
Channel: Madhur L
Description: Prove or disprove that for two sets A and B, (A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B' where A' is the complement of the set A corresponding to an universal set U.

          Prove or disprove that for two sets A and B, $(A \cup B)' = A' \cap B'$ and $(A \cap B)' = A' \cup B'$ where $A'$ is the complement of the set A corresponding to an universal set U.

Added by Jose S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/10/2022

Step 1

Step 1: To prove or disprove the given statements, we need to use the definition of set complements and De Morgan's laws. Show more…

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Prove or disprove that for two sets A and B,(Acup B)^(')=A^(')cap B^(') and (Acap B)^(')= A^(')cup B^(') where A^(') is the complement of the set A corresponding to an universal set U. Prove or disprove that for two sets A and B, (AUB)'= A'nB' and (AnB)'= A'U B' where A' is the complement of the set A corresponding to an universal set U.