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Exercise 3.1.5: Expressing sets in set builder notation. About Express each set using set builder notation....

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Advance Math

Exercise 3.1.5: Expressing sets in set builder notation. AboutExpress each set using set builder notation. Then if the set isfinite, give its cardinality. Otherwise, indicate that the set isinfinite. PLEASE show some explanation how you got answer.Thanks!

(a)

{-2, -1, 0, 1, 2}

(b)

{ 3, 6, 9, 12, .... }

(c)

{ -3, -1, 1, 3, 5, 7, 9 }

(d)

{ 0, 10, 20, 30, ...., 1000 }

Exercise 3.2.4: A subset of a power set.

(a)

Let X = {a, b, c, d}. What is { A: A ? P(X) and |A| = 2 }?

(b)

Let A = {1, 2, 3}. What is {X ? P(A): 2 ? X}?

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