Question

A quality control officer is randomly checking the weights of candy bags being filled by an automatic filling machine. Each bag is advertised as weighing 500 grams. A bag must weigh within 5.3 grams in order to be accepted. What is the range of rejected bags, x, for the bags of candy?

Answer 1

from 0g to 494.7g are rejected as well as those heavier than 505.3grams.

You calculate this by subtracting and adding 5.3 to 500

Answer 2

x<494.7 and x>505.3

Explanation:

The candy bag is advertised to be of 500 grams and it should weigh within 5.3 grams in order to be accepted. Thus, the bags which can be rejected would be if the weigh is less than (500-5.3) grams that is 494.7 or the weigh is greater than (500+5.3) grams that is 505.3. Therefore, if x is the range of the rejected bags then, then the range will be between 505.3<x<494.7.