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Using the union rule to answer the following questions.
suppose n(A (A LETTER "u" UPSIDE DOWN) b) = 5
n(A U B) = 35
n (A) = 13
what is n(B)?
n(A union B) = n(A)+n(B)-n(A intersect B)
35 = 13 + n(B) - 5
n(B) = 35-8
n(B) = 27
Show that the statements is true by drawing venn diagrams and shading the regions representing the sets on each side of the equals sign.
(A (UPSIDE DOWN U) B)' = A' U B'
Draw two intersecting circles in a rectangle.
Draw it again.
Shade (A intersect B)' in the 1st
Shade (A' union B') in the 2nd
Do the two shaded areas look the same?
They should. This is one piece of DeMoivre's Rule.