Question

the weight of an object on a particular scale is 175.2 lbs .the measured weight may vary from the actual weight be at most 0.1 lbs. what is the range of actual weights of the object?

Answer 1

The range of actual weights of the object is:

175.1 lbs to 175.3 lbs.

Explanation:

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:

`|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`

Hence, the range of the weight is:

175.1 lbs to 175.3 lbs.