Question

The ideal mass for a piece of chocolate is 2.5 ounces. The actual mass for a production can vary by, at most, 0.08

ounces. Create an absolute value inequality and solve it to determine the range of chocolate masses.

Answer 1

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Answer:

|m-2.5| ≤ 0.08

2.42 ≤ m ≤ 2.58

Explanation:

The equation of interest is the one that says the positive difference from the ideal mass is at most 0.08 ounces:

|m -2.5| ≤ 0.08 . . . an absolute value inequality

The solution is found by solving the equivalent compound inequality:

-0.08 ≤ m -2.5 ≤ 0.08

2.42 ≤ m ≤ 2.58 . . . . the range of masses