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

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) (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)

RELATED QUESTIONS
Prove or disprove the statement ( A U B)' = (A' U B') by using the regions in the Venn... (answered by MathLover1,ikleyn)

i need to use a venn diagram. Name the region or regions described. Thank you a. (A... (answered by Edwin McCravy)

Working on Venn diagrams, I was given the question: "How many elements are in the set... (answered by richwmiller)

Draw the Venn diagram for the following information Let U= {1,2,3,4,5,6,7,8} A= {2,4,6} (answered by solver91311)

Let G be a group and let a b be some elements of G. Prove or disprove the following... (answered by jorel1380)

A researcher believes that the average production in manufacturing has increased by 200... (answered by stanbon)

Prove or disprove that the diagonals are congruent using coordinate geometry. A(5,7) (answered by MathLover1)

A box contains one yellow , two red, and three green balls. Two balls are randomly... (answered by stanbon)