**3.15 < x < 3.25**

If the true value is 3.2 and the absolute error must be less than 0.05, find the acceptable measured values.

a) 3.15<x<3.25 b) x<-3.15 0r x>3.25 c) x< 3.15 or x>3.15 d) -3.15<x<3.25

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Marked as Best Answer

lower limit: 3.2 - .05 = 3.15

upper limit: 3.2 + .05 = 3.25

so, **3.15 < x < 3.25**

The absolute error shows by how much the experimental value differs from the true value. So experimental value may end up greater or smaller than the true value, therefore if the error is 0.05, it means that acceptable values are either smaller or greater than the true value by no more than 0.05. If true value is 3.2, then acceptable values are not smaller than 3.2-0.05=3.15 or not greater than 3.2+0.05=3.25. It can be written as follows:

3.15<x<3.25

Thus correct answer is a)

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