Question

The weight of an object on a particular scale is 145.2 lbs. The measured weight may vary from the actual weight by at most 0.3 lbs. What is the range of actual weights of the object?

Answer 1

145.2-0.3=144.9
145.2+0.3=145.5
The range is 144.9-145.5

Answer 2

`144.9\leq x\leq 145.5`

Explanation:

Let x represent actual weight of object.

We have been that the weight of an object on a particular scale is 145.2 lbs. The measured weight may vary from the actual weight by at most 0.3 lbs.

`|\text{Actual}-\text{Ideal}|\leq \text{Tolerance}`.

Upon substituting our given values, we will get:

`|x-145.2|\leq 0.3`

Applying absolute value rule
`|u|\leq a=-a\leq u\leq a`, we will get:

`-0.3\leq x-145.2\leq 0.3`

Add 145.2 on each side:

`-0.3+145.2\leq x-145.2+145.2\leq 0.3+145.2`

`144.9\leq x\leq 145.5`

Therefore, our required range will be
`144.9\leq x\leq 145.5`.