To determine if the statement [tex]\(6 \in \{1,5,6,8,14\}\)[/tex] is true or false, follow these steps:
1. Identify the Element and the Set:
The element we are checking is [tex]\(6\)[/tex] and the given set is [tex]\(\{1, 5, 6, 8, 14\}\)[/tex].
2. Check Element Presence in the Set:
Look through the elements in the set [tex]\(\{1, 5, 6, 8, 14\}\)[/tex] to see if the number 6 is present.
3. Verification:
- The set contains the elements: 1, 5, 6, 8, and 14.
- Indeed, the number 6 is listed as one of the elements of the set.
4. Conclusion:
Since 6 is present in the set [tex]\(\{1,5,6,8,14\}\)[/tex], the statement [tex]\(6 \in \{1,5,6,8,14\}\)[/tex] is true.
Therefore, the correct answer is:
O True
