Answer
see attached picture and for further go for step by step solution
Work Step by Step
a) In the figure we have shaded the A set with horizontal bars (including the double-shaded portion, which
includes both horizontal and vertical bars), and we have shaded the set B-C with vertical bars (that portion inside B but outside C. The intersection is where these overlap-the double-shaded portion (shaped like an arrowhead).
b) In the figure we have shaded the set A ∩ B with horizontal bars (including the double-shaded portion, which includes both horizontal and vertical bars), and we have shaded the set A ∩ C with vertical bars. The union is the entire region that has any shading at all (shaped like a tilted mustache).
c) In the figure we have shaded the set A ∩ Bᶜ with horizontal bars (including the double-shaded portion, which includes both horizontal and vertical bars), and we have shaded the set A ∩ Cᶜ with vertical bars. The union is the entire region that has any shading at all (everything inside A except the triangular middle portion where all three sets overlap) portion (shaped like an arrowhead).
