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

The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:
`|mass - 2.5| < 0.08`

Explanation:

The ideal mass of the chocolate is 2.5 ounces, although it can vary by 0.08 ounces, this variation can occur for greater masses and lesser ones. Therefore the actual mass of the each chocolate will sit between the ideal mass minus 0.08 and the ideal mass plus 0.08. Therefore we can construct the following inequality:

`-0.08 < mass + 2.58 <0.08\\ |mass - 2.5|< 0.08\\`

The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:
`|mass - 2.5| < 0.08`