Question

A food manufacturer specifies that every family-size box of ice cream should have a weight of 1 gallon (3.78 lt), with a tolerance of 0.15 lt. Write and solve an absolute value inequality that describes the acceptable net weights for ice cream in a family-size box.

a) |1 gallon - x| ≤ 0.15
b) |x - 1 gallon| ≤ 0.15
c) |1 gallon + x| ≤ 0.15
d) |x + 1 gallon| ≤ 0.15

Answer 1

The acceptable net weights for ice cream in a family-size box can be described by the absolute value inequality |x - 1 gallon| ≤ 0.15.

Step-by-step explanation:

The acceptable net weights for ice cream in a family-size box can be described by the absolute value inequality:

|x - 1 gallon| ≤ 0.15

This inequality represents that the absolute difference between the weight of the ice cream (x) and 1 gallon should be less than or equal to 0.15 liters. This means that the weight of the ice cream can be up to 0.15 liters more or 0.15 liters less than 1 gallon, which is within the specified tolerance.