Solution Found!
Determine whether each of these pairs of sets are equal.a)
Chapter 1, Problem 5E(choose chapter or problem)
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