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

is it a

The correct answer is: x < 17.89 or x > 18.61 because |x – 18.25| > 0.36.

To find the range of rejected masses, we need to look at the acceptable weight range around the target weight of 18.25 oz. In this case, a pack of nuts will be rejected if its weight is outside of a range that is within 0.36 oz of the target weight.

To represent this mathematically, we can use the absolute value function, which is denoted by "| |" symbol. The expression |x – 18.25| represents the absolute difference between the weight of a pack (x) and the target weight (18.25 oz). If this difference is greater than 0.36 oz, the pack will be rejected.

So, the range of rejected masses can be expressed as x < 17.89 or x > 18.61, indicating that any weight less than 17.89 oz or greater than 18.61 oz will result in the pack being rejected.

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