Final answer:
To find the missing number that creates a range of 5 with the numbers 2 and 3, we assume the missing number could be the highest value. Subtracting the smallest given number (2) from the range (5) gives us 7, which would be the correct and feasible answer.
Step-by-step explanation:
If the range of the numbers 2, 3, and an unknown number is 5, we need to find the missing number that would maintain this range. The highest number minus the lowest number equals the range, so one possibility is that the missing number is the highest one. Since the given numbers are 2 and 3, the lowest number is 2. Therefore, to have a range of 5, the highest number should be 2 + 5 = 7. So the possible missing number is 7.
Alternatively, the missing number could be the lowest one. If we take the highest known number which is 3 and subtract the range, we would get 3 - 5 = -2, which is less than the minimum number we already have (2). Thus, this option is not plausible, making 7 the correct answer.