The error interval is 3.65 ≤ x < 3.75
It is the interval which has the number before it was rounded off to its nearby number.
It is given that
a number x,rounded to 1 decimal place is 3.7
The number was rounded to the nearest 0.1 unit
Therefore the error is half of 0.1
= 0.05
3.7 + 0.05 = 3.75
and 3.7 − 0.05 = 3.65
therefore the error interval is 3.65 ≤ x < 3.75 .
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