(a) With reference to Fig. 2.31, sketch the set (A ⋂ B) ⋃ (A ⋃ B)c.FIGURE 2.31 (a) Two set...

(a) With reference to Fig. 2.31, sketch the set (A ⋂ B) ⋃ (A ⋃ B)c.

FIGURE 2.31 (a) Two sets of coordinates,A and B, in 2-D space. (b) The union of A and B. (c) The intersection of A and B. (d) The complement of A. (e) The difference between A and B. In (b)–(e) the shaded areas represent the members of the set operation indicated.

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(b) Give expressions for the sets shown shaded in the following figure in terms of sets A, B, and C. The shaded areas in each figure constitute one set, so give one expression for each of the three figures.