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

Answer:

$144.9\leq x\leq 145.5$

Step-by-step 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 $144.9\leq x\leq 145.5$.

Answer 2

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