Error interval for x is 4.65 ≤ x < 4.75.
Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.
The error is rounding the number is half of the unit of measure.
The number was rounded to the nearest 0.1 unit. so the error is half of 0.1 which is [tex]\frac{1}{2}[/tex] × [tex]0.1[/tex] = 0.05
∵ 4.7 + 0.05 = 4.75
and 4.7 - 0.05 = 4.65
Error interval for x is 4.65 ≤ x < 4.75.
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