Using the absolute value function, we have that:
- The gasket with a weight of 0.53 lb should be thrown out.
- The inequality is: |x - 0.6| ≤ 0.06.
What is the absolute value function?
The absolute function is defined by:
It measures the distance of a point x to the origin.
For the batch, the weights are given as follows:
0.58, 0.63, 0.65, 0.53, 0.61.
Hence the mean is:
(0.58 + 0.63 + 0.65 + 0.53 + 0.61)/5 = 0.6.
Weights that are more than 0.06 of the pounds must be thrown out, hence the inequality for the valid weights is given by:
|x - 0.6| ≤ 0.06.
Hence the range of valid weighs is:
- x - 0.6 ≥ -0.06 -> x ≥ 0.54.
- x - 0.6 ≤ 0.06 -> x ≤ 0.66.
0.53 is not in the interval, hence the gasket with a weight of 0.53 lb should be thrown out.
More can be learned about the absolute value function at brainly.com/question/24837065
#SPJ1
