Problem

Explain why you believe the following statement is either true or false. Recall: $A=\{2,3,8,23,15, B\}, B=\{2,5,8,11,23, \Delta\}, F=\{2,15,8,23\}$ Statement: $A=B$

Solution

Step 1 :The statement is saying that set A is equal to set B. In set theory, two sets are equal if and only if they have exactly the same elements. So, to determine if this statement is true or false, we need to compare the elements of set A and set B.

Step 2 :Set A = \{2, 3, 23, 8, 15\}

Step 3 :Set B = \{2, 5, 23, 8, 11\}

Step 4 :After comparing the elements of set A and set B, it is clear that they do not contain exactly the same elements.

Step 5 :Final Answer: The statement A=B is \(\boxed{false}\)

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Source: https://solvelyapp.com/problems/12477/

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