The range of actual weights of the object is:
175.1 lbs to 175.3 lbs.
The measured weight of the object on a particular scale is: 175.2 lbs .
Also, as it is given that the measured weight may vary from the actual weight be at most 0.1 lbs.
If x could be the actual weight of the object then we have:
[tex]|x-175.2|\leq 0.1\\\\i.e.\\\\-0.1\leq x-175.2\leq 1\\\\i.e.\\\\175.2-0.1\leq x\leq 175.2+0.1\\\\i.e.\\\\175.1\leq x\leq 175.3[/tex]
Hence, the range of the weight is:
175.1 lbs to 175.3 lbs.
