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

Algebra ->  Equations -> 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      Log On


   

Question 1140041: 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.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

( A U B)' = (A' U B')
(AUB)' is the same as A' U B' , and is the same as A' ∩ B'

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

( A U B)' = (A' ∩ B')

(A U B)'  is the same as  (A' ∩ B'),  but is  NOT  the same as  (A' U B').