Question: 1. (Page 115, Problem 5) For sets A, B, and C, (a) Using truth tables, prove that (AUC) - BC(A- B) UC (AnC) - B

1. (Page 115, Problem 5) For sets A, B, and C, (a) Using truth tables, prove that (AUC) - BC(A- B) UC (AnC) - B = (A- B)nc (b) Draw Venn diagrams to illustrate the proofs. (c) Prove that (AUC) - B = (A - B) UC BOC=0 (d) Using the above results, deduce that (A - B) nC = 0 if and only if AnCC B

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