To model the situation with an absolute value inequality, consider that the ideal temperature for proofing yeast is 107.5°F, with a variation of 2.5°F. We can write the absolute value inequality as:
[tex]\[ |T - 107.5| \leq 2.5 \][/tex]
This inequality means that the temperature \( T \) can vary by 2.5°F from the ideal temperature of 107.5°F.
To find the range of acceptable temperatures, we need to calculate the lower and upper bounds:
1. The lower bound is:
[tex]\[ 107.5 - 2.5 = 105.0 \][/tex]
2. The upper bound is:
[tex]\[ 107.5 + 2.5 = 110.0 \][/tex]
Therefore, yeast will proof in temperatures that are at least 105.0°F and at most 110.0°F degrees.
