Questions: Determine whether the given statement is true or false. 9 not in 1,2,3, ..., 24 Choose the correct answer below. True False

Transcript text: Determine whether the given statement is true or false. \[ 9 \notin\{1,2,3, \ldots, 24\} \] Choose the correct answer below. True False

Solution

Solution Steps

Step 1: Define the Set

The set in question is defined as: \[ \{1, 2, 3, \ldots, 24\} \] This set includes all integers from \(1\) to \(24\).

Step 2: Check Membership

We need to determine if \(9\) is an element of the set. The membership check shows: \[ 9 \in \{1, 2, 3, \ldots, 24\} \] Since \(9\) is included in the set, the statement \(9 \notin \{1, 2, 3, \ldots, 24\}\) is false.

Step 3: Conclusion

The statement is false because \(9\) is indeed an element of the set.