Determine whether the following statements are true or false.(a) If {1} P(A), then 1 A

Chapter 1, Problem 1.20

(choose chapter or problem)

Determine whether the following statements are true or false.(a) If {1} P(A), then 1 A but {1} / A.(b) If A, B and C are sets such that A P(B) C and |A| = 2, then |C| can be 5 but |C| cannot be 4.(c) If a set B has one more element than a set A, then P(B) has at least two more elements than P(A).(d) If four sets A, B,C and D are subsets of {1, 2, 3} such that |A|=|B|=|C|=|D| = 2, then at leasttwo of these sets are equal.

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