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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

Mathematics
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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
A pack must weigh within 0.36 oz, thus anything that weighs less than: 18.25-0.36 oz should be rejected.
As well as anything that weighs greater than 18.25+0.36 oz.

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Other answers:

This translates into: x<17.89 or x>18.61
you know how to solve that absolute value inequality?
Because in those cases |x – 18.25| > 0.36
So first option.

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