Draw the Venn diagrams for each of these combinations of the sets A, B, and C.
A ∩ (B ∪ C)
A̅ ∩ B̅ ∩ C̅
(A - B) ∪ (A - C) ∪ (B - C)

Solution:

The Venn diagram for A ∩ (B ∪ C) is given below:

A̅ ∩ B̅ ∩ C̅ is represented by the shaded diagram in the Venn diagram below:

(A - B) ∪ (A - C) ∪ (B - C) is represented by the shaded area in the Venn Diagram

Draw the Venn diagrams for each of these combinations of the sets A, B, and C.
A ∩ (B ∪ C)
A̅ ∩ B̅ ∩ C̅
(A - B) ∪ (A - C) ∪ (B - C)

Summary:

A ∩ (B ∪ C) is an area that is obtained by the union of the overlapping areas between Set A & Set B and Set A and Set C. A̅ ∩ B̅ ∩ C̅ is the area that is the same as the common area of the three sets A, B, and C i.e. A ∩ B ∩ C. (A − B) ∪ (A - C) ∪ (B − C) is the area which excludes area exclusive to set C and the overlap area set A and C.