If the numbers are increased by 3, the range remains unchanged i.e. 5
How to determine the range?
Assume the smallest and the largest numbers are x and y.
So, the range is:
R = y - x
When the numbers are increased by 3, the smallest and the largest numbers become x + 3 and y + 3
So, the range is:
R = y + 3 - x - 3
Evaluate the sum
R = y - x
Notice that the expression for range in both scenarios are the same.
Hence, if the numbers are increased by 3, the range remains the same
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