Question

4. If |A| = n, then what is the cardinality of the set {X ? ?(A) : |X| = 1}? 5. Three of the following four sets are equal to each other. Which of the four is not equal to any of the others? (i) ?(B) – ?(A) (iii) {X ? B | X ? A = ?} (ii) ?(B – A) (iv) {X ? ?(B) | if x ? X, then x ? A}

          4. If |A| = n, then what is the cardinality of the set
{X ? ?(A) : |X| = 1}?
5. Three of the following four sets are equal to each other. Which of the four is not equal to any of the others?
(i) ?(B) – ?(A) (iii) {X ? B | X ? A = ?}
(ii) ?(B – A) (iv) {X ? ?(B) | if x ? X, then x ? A}

4. If |A| = n, then what is the cardinality of the set
X ? ?(A) : |X| = 1?
5. Three of the following four sets are equal to each other. Which of the four is not equal to any of the others?
(i) ?(B) – ?(A) (iii) X ? B | X ? A = ?
(ii) ?(B – A) (iv) X ? ?(B) | if x ? X, then x ? A

Added by Susana W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/19/2022

Step 1

We need to find the cardinality of the set {X ∈ P(A) : |X| = 1}, which is the set of all subsets of A with cardinality 1. Show more…

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4. If |A| = n, then what is the cardinality of the set {X ∈ ℘(A) : |X| = 1}? 5. Three of the following four sets are equal to each other. Which of the four is not equal to any of the others? (i) ℘(B) - ℘(A) (ii) ℘(B - A) (iii) {X ⊆ B | X ∩ A = ∅} (iv) {X ∈ ℘(B) | if x ∈ X, then x ∉ A}