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5. Determine whether the given statement is true or false. (3} E{{3}, (6}} Choose the correct answer below. O True O False

5. Determine whether the given statement is true or false. (3} E{{3}, (6}} Choose the correct answer below. O True O False

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** 5. Determine whether the given statement is true or false. \[{3} \in \{{3}, {6}\}\] Choose the correct answer below: - ☐ True - ☐ False --- **Explanation:** The symbol \(\in\) signifies membership, meaning "is an element of." The statement is asking if the set \(\{3\}\) is an element of the set \(\{\{3\}, \{6\}\}\). - The set on the right side, \(\{\{3\}, \{6\}\}\), contains two elements: \({3}\) and \({6}\), both of which are sets. - The set on the left side is \(\{3\}\). Since \(\{3\}\) is indeed one of the elements within the set \(\{\{3\}, \{6\}\}\), the statement is true. --- Note: This exercise helps understand the concept of set membership and how sets can themselves be elements of other sets.
Transcribed Image Text:**Problem Statement:** 5. Determine whether the given statement is true or false. \[{3} \in \{{3}, {6}\}\] Choose the correct answer below: - ☐ True - ☐ False --- **Explanation:** The symbol \(\in\) signifies membership, meaning "is an element of." The statement is asking if the set \(\{3\}\) is an element of the set \(\{\{3\}, \{6\}\}\). - The set on the right side, \(\{\{3\}, \{6\}\}\), contains two elements: \({3}\) and \({6}\), both of which are sets. - The set on the left side is \(\{3\}\). Since \(\{3\}\) is indeed one of the elements within the set \(\{\{3\}, \{6\}\}\), the statement is true. --- Note: This exercise helps understand the concept of set membership and how sets can themselves be elements of other sets.
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