Answer :
To determine which of the given numbers are in the set \( A \), we first explicitly define the set \( A \). The set \( A \) consists of all positive odd integers less than 7.
We start by listing the positive integers less than 7: \( 1, 2, 3, 4, 5, 6 \). From these, we select only the odd integers: \( 1, 3, 5 \). Therefore, \( A = \{ 1, 3, 5 \} \).
Next, we check each of the given numbers to see if they belong to set \( A \):
1. Checking \(-1\):
\(-1\) is not a positive number, hence it is not in set \( A \).
2. Checking 0:
0 is not a positive number, so it is not in set \( A \).
3. Checking 1:
1 is a positive odd integer less than 7, so it is in set \( A \).
4. Checking 2:
2 is a positive integer but it is even, hence it is not in set \( A \).
5. Checking 5:
5 is a positive odd integer less than 7, so it is in set \( A \).
6. Checking 3:
3 is a positive odd integer less than 7, so it is in set \( A \).
Based on the checks we have performed, the numbers that are in set \( A \) are:
- 1
- 5
- 3
Therefore, from the given numbers, the ones that are in set [tex]\( A \)[/tex] are [tex]\( 1 \)[/tex], [tex]\( 5 \)[/tex], and [tex]\( 3 \)[/tex].
We start by listing the positive integers less than 7: \( 1, 2, 3, 4, 5, 6 \). From these, we select only the odd integers: \( 1, 3, 5 \). Therefore, \( A = \{ 1, 3, 5 \} \).
Next, we check each of the given numbers to see if they belong to set \( A \):
1. Checking \(-1\):
\(-1\) is not a positive number, hence it is not in set \( A \).
2. Checking 0:
0 is not a positive number, so it is not in set \( A \).
3. Checking 1:
1 is a positive odd integer less than 7, so it is in set \( A \).
4. Checking 2:
2 is a positive integer but it is even, hence it is not in set \( A \).
5. Checking 5:
5 is a positive odd integer less than 7, so it is in set \( A \).
6. Checking 3:
3 is a positive odd integer less than 7, so it is in set \( A \).
Based on the checks we have performed, the numbers that are in set \( A \) are:
- 1
- 5
- 3
Therefore, from the given numbers, the ones that are in set [tex]\( A \)[/tex] are [tex]\( 1 \)[/tex], [tex]\( 5 \)[/tex], and [tex]\( 3 \)[/tex].
