11.

(a) Show the distributive property using Venn diagrams with x, y, and z overlapping regions.

Sketch the following regions to show that region (3) is the same as region (6):

(1) x

(2) y · z

(3) x + y · z

(4) (x + y)

(5) (x + z)

(6) (x + y) · (x + z)

(b) Do the dual of part (a).