Determine whether each of these pairs of sets are equal.a)

Chapter 1, Problem 5E

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QUESTION:

Determine whether each of these pairs of sets are equal.

a) \(\{1,3,3,3,5,5,5,5,5\},\{5,3,1\}\)

b) \(\{\{1\}\},\{1,\{1\}\}\)

c) \(\emptyset,\{\emptyset\}\)

Questions & Answers

QUESTION:

Determine whether each of these pairs of sets are equal.

a) \(\{1,3,3,3,5,5,5,5,5\},\{5,3,1\}\)

b) \(\{\{1\}\},\{1,\{1\}\}\)

c) \(\emptyset,\{\emptyset\}\)

ANSWER:

Step 1 of 3

Given that:

{1, 3, 3, 3, 5, 5, 5, 5. 5}, {5, 3, 1}

Suppose 

A = {1, 3, 3, 3, 5, 5, 5, 5. 5}

B = {5, 3, 1}

Here, we can say that , A contain all the elements of B & B contain all the elements of A.

So, \(A \subseteq B \& B \subseteq A\).

In this condition, we can say that each of these pairs of sets are equal

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