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

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

Explanation:

We know that each pack of almonds is targeted to weigh 21.25 oz.and a pack must weigh within 0.24 oz of the target weight to be accepted.

Assuming x to be the weight of a given pack of almonds, we can write it as:

`|x-21.25| > 0.24`

Now finding the range of rejected masses (x) of the almonds.

`|x-a| >b`

`-b<(x-a)< b`

`|x-21.25| >0.24`

`-0.24>(x-21.25)>0.24`

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

`x<21.01` or
`x>21.49`

Therefore, the correct answer option is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.