MATH SOLVE

4 months ago

Q:
# A company did a quality check on all the packs of trail mix it manufactured. 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. What is the range of rejected masses, x, for the manufactured trail mixes?x < 9.02 or x > 9.48 because |x − 0.23| + 9.25 > 0x < 9.25 or x > 9.48 because |x − 9.25| > 0.23x < 9.25 or x > 9.48 because |x − 0.23| + 9.25 > 0x < 9.02 or x > 9.48 because |x − 9.25| > 0.23

Accepted Solution

A:

Answer:d. x < 9.02 or x > 9.48 because |x − 9.25| > 0.23Step-by-step explanation:Given,The standard weight of the pack = 9.25 oz,The pack must weigh within 0.23 oz of the target weight to be accepted. i.e. if x represents the weight of the pack,If x > 9.25 ozthen x - 0.925 ≤ 0.23 ......(1)if x < 9.25then 9.25 - x ≤ 0.23⇒ -(x-9.25) ≤ 0.23 .......(2)From equation (1) and (2),The accepted range of mass is,|x-9.25| ≤ 0.23Hence, the rejected range mass would be,|x-9.25| > 0.23⇒ x - 9.25 > 0.23 or -x + 9.25 < 0.23⇒ x > 0.23 + 9.25 or -x > 0.23 - 9.25⇒ x > 9.48 or - x > −9.02⇒ x > 9.48 or x < 9.02