Question

A company did a quality check on all the packs of nuts it manufactured. Each pack of nuts is targeted to weigh 18.25 oz. A pack must weigh within 0.36 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured nuts?
x < 17.89 or x > 18.61 because |x − 18.25| > 0.36

x < 17.89 or x > 18.61 because |x − 0.36| + 18.25 > 0

x < 18.25 or x > 18.61 because |x − 18.25| > 0.36

x < 18.25 or x > 18.61 because |x − 0.36| + 18.25 > 0

Answer 1

rejected if \[|x-18.25|>.36\] i.e if the difference between the weight of the package is further away form 18.25 by more than .36

Answer 2

A pack must weigh within 0.36 oz, thus anything that weighs less than:
18.25-0.36 oz should be rejected.

Answer 3

As well as anything that weighs greater than 18.25+0.36 oz.

Answer 4

This translates into:
x<17.89 or x>18.61

Answer 5

you know how to solve that absolute value inequality?

Answer 6

Because in those cases |x – 18.25| > 0.36

Answer 7

So first option.