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\( A=\{1,5\}, B=\{2,4,6,8\}, C=\{1,3,5,7,9\}, D=\{2,3,5,7\}, E=\{3,9\} \), and \( U=\{1,2,3,4,5,6,7,8,9,10\} \). Is this statement \( E \subseteq C \) true or false? False True

Ask by Mathis Osborne. in the United States
Dec 03,2024

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The statement \( E \subseteq C \) is true.

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The Deep Dive

Let's break this down! The set \( E = \{3,9\} \) contains the elements 3 and 9. Now, checking against set \( C = \{1,3,5,7,9\} \), we see that both elements in \( E \) are indeed present in \( C \). This means that \( E \) is completely included in \( C \), confirming that the statement \( E \subseteq C \) is True. Now, imagine a fun party where \( C \) is the guest list. Everyone in \( E \) shows up, and since they were invited, it’s clear that they are part of the party! So, the conclusion is that this is indeed a true statement!

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