Question

which of the following numbers are in set a? check all that apply.
a = {x | x is a positive, odd integer less than 7}
-1
0
1
2
5
3

Explanation:

Step1: Analyze the set definition

Set \( A=\{x\mid x \text{ is a positive, odd integer less than } 7\} \). So we need to check each number:

• For \(-1\): It is negative, so not in \( A \).
• For \( 0 \): It is not positive, so not in \( A \).
• For \( 1 \): It is positive, odd, and \( 1<7 \), so in \( A \).
• For \( 2 \): It is even, so not in \( A \).
• For \( 5 \): It is positive, odd, and \( 5<7 \), so in \( A \).
• For \( 3 \): It is positive, odd, and \( 3<7 \), so in \( A \).

Answer:

1. \( 1 \)
2. \( 3 \)
3. \( 5 \)