Each pack of trail mix is targeted to weigh 9.25 oz.
A pack must weigh within 0.23 oz of the target weight to be accepted.
Let the weight of the pack x
The range of accepted weight will be as following:
∴ 9.25 - 0.23 < x < 9.25 + 0.23
subtract 9.25 from all sides
∴ -0.23 < x - 9.25 < 0.23
which can be written as ⇒⇒⇒ | x - 9.25 | < 0.23
So, the rejected weight is the inverse of that inequality.
∴ The absolute value inequality for the rejected weight range is:
<u>| x - 9.25 | > 0.23</u>
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So, the range of rejected masses: <u>x < 9.02</u> OR <u>x > 9.48</u>
