SOLUTION: Prove or disprove the statement ( A U B)' = (A' U B') by using the regions in the Venn diagram provided. Since I cannot make this Venn diagram on here, I'll describe it. A is on

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Question 1139993: Prove or disprove the statement ( A U B)' = (A' U B') by using the regions in the Venn diagram provided.
Since I cannot make this Venn diagram on here, I'll describe it. A is one circle and B is the other circle. Region I is in circle A, region II is in the intersection of circle A and B, region III is in circle B, and region IV is outside the circles.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
De Morgan’s Laws:
For any two finite sets A and B;
(i) A - (B U C) = (A - B) ∩ (A - C)
(ii) A - (B ∩ C) = (A - B) U (A - C)
De Morgan’s Laws can also we written as:
(i) (A U B)’ = A' ∩ B'
(ii) (A ∩ B)’ = A' U B'
=>the statement ( A U B)' = (A' U B') is undetermined (can be true or false)