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

Answer 1

Answer:

$2.42\,oz \leq m_{real} \leq 2.58\,oz$

Step-by-step explanation:

The inequality must be the absolute value of the difference between real mass and ideal mass less or equal to 0.08 ounces. That is to say:

$|m_{real} - m_{ideal}| \leq 0.08\,oz$

$|m_{real} - 2.5\,oz| \leq 0.08\,oz$

There are two extreme cases:

$m_{real,max} - 2.5\,oz = 0.08\,oz$ and $m_{real, min} - 2.5\,oz = -0.08\,oz$

$m_{real, max} = 2.58\,oz$ and $m_{real,min} = 2.42\,oz$

Range of chocolate masses must be:

$m_{real, min} \leq m_{real} \leq m_{real,max}$

$2.42\,oz \leq m_{real} \leq 2.58\,oz$