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t using the roster method. \\( b = \\left\\{ y \\left| 20 \\leq y \\leq…

Question

t using the roster method.
\\( b = \left\\{ y \left| 20 \leq y \leq 32 \text{ and } y \text{ is an odd number} \
ight. \
ight\\}
points
\\( b = \\)

Explanation:

Step1: Identify the range

The range for \( y \) is \( 20 \leq y \leq 32 \), so we consider integers from 20 to 32 inclusive.

Step2: Identify odd numbers in the range

Odd numbers are numbers not divisible by 2. So we check each number in the range:

  • 20: even (divisible by 2)
  • 21: odd (not divisible by 2)
  • 22: even
  • 23: odd
  • 24: even
  • 25: odd
  • 26: even
  • 27: odd
  • 28: even
  • 29: odd
  • 30: even
  • 31: odd
  • 32: even

So the odd numbers in the range are 21, 23, 25, 27, 29, 31.

Answer:

\( B = \{21, 23, 25, 27, 29, 31\} \)