Write {even whole numbers between 3 to 15} using the roster method.Group of answer choicesnone{2,4,6,8,10,12,14,16}{4,6,8,10,12,14}{4,6,8,12,14}

Break Down the Problem

1. Identify the range of numbers, which is between 3 and 15.
2. Determine what constitutes an even whole number.
3. List all even whole numbers within the specified range.

Relevant Concepts

• Even whole numbers are integers that are divisible by 2 without a remainder.

Analysis and Detail

1. The range of interest is from 3 to 15, inclusive.
2. The even whole numbers greater than 3 and less than or equal to 15 are:
   • Starting from 4 (the first even number greater than 3) up to 14 (the largest even number less than or equal to 15).
3. List of even numbers in this range: $4, 6, 8, 10, 12, 14$.

Verify and Summarize

• Verify each number:
  • 4 is even,
  • 6 is even,
  • 8 is even,
  • 10 is even,
  • 12 is even,
  • 14 is even.
• All of the listed numbers meet the criteria of being even and within the specified range.

Final Answer

The even whole numbers between 3 and 15 using the roster method are: $\{4, 6, 8, 10, 12, 14\}$.

Based on the choices provided, the correct option is $\{4, 6, 8, 10, 12, 14\}$.