Answer:
[tex]3.65 \leqslant x \leqslant 3.75[/tex]
Step-by-step explanation:
The error in rounding a number is half of the unit of measure.
The number was rounded to the nearest 0.1 unit so the error is 1/2×0.1, which equals 0.05.
Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65
So, the error interval is:
[tex]3.65 \leqslant x \leqslant 3.75[/tex]
