Question

A company did a quality check on all the packs of roasted almonds it manufactured. Each pack of roasted almonds is targeted to weigh 21.25 oz. A pack must weigh within 0.24 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured roasted almonds?

x < 21.01 or x > 21.49 because |x - 0.24| + 21.25 > 0

x < 21.25 or x > 21.49 because |x - 21.25| > 0.24

x < 21.01 or x > 21.49 because |x - 21.25| > 0.24

x < 21.25 or x > 21.49 because |x - 0.24| + 21.25 > 0

Answer 1

Option C.

Explanation:

Targeted to weight of each pack of roasted almonds = 21.25 oz.

A pack must weight within 0.24 oz of the target weight to be accepted.

It means weight more than or less than 0.24 oz of target weight is rejected. So the absolute difference between weight and target weight must be more than 0.24 oz.

Let x be the weight of roasted almonds.

`|x-21.25|>0.24`

`x-21.25>0.24` or
`x-21.25<-0.24`

`x>0.24+21.25` or
`x<-0.24+21.25`

`x>21.49` or
`x<21.01`

The range of rejected masses, x, for the manufactured roasted almonds is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.

Therefore, the correct option is C.

Answer 2

"x < 21.01 or x > 21.49 because |x - 21.25| > 0.24" is the one among the following choices given that is the range of rejected masses, x, for the manufactured roasted almonds. The correct option among all the options that are given in the question is the third option. I hope the answer helps you.