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

@Hero

Answer 2

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

Answer 3

can you explain it

Answer 4

if x is under 21.01 or over 21.49 then the absolute value of x-21.25 is greater than .24 because x would be more than .24 over or under the target mass.

ex: 19.3 would be rejected because |19.3-21.25|=1.95 which is greater than .24
Did that explain it?