if the true value or a quantity is 43 and the absolute error

if the true value or a quantity is 4.3 and the absolute error must be less than 0.04, find the acceptable measured values

choose the correct answer below

a) 4.26 < x < 4.34

b) -4.26 < x < 4.34

c) x < 4.26 or x >4.34

d) x < -4.26 or x> 4.34

Solution

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 0.04, it means that acceptable values are either smaller or greater than the true value by no more than 0.04.

If true value is 4.3, then acceptable values are

not smaller than 4.3-0.04=4.26 or

not greater than 4.3+0.04=4.34.

It can be written as 4.26 < x < 4.34

So, option \'a\' is correct one.