The absolute value equation representing the length of the nail is :
A nail of length 1.05 inches is unacceptable
Actual Length of nail = 1 inch
Allowable variation = 1/32 inches
The minimum allowable length :
actual length - allowable variation
The maximum allowable length :
Actual length + allowable variation
The length of X, of the nail must be follow the equation :
Minimum ≤ X ≤ maximum
![\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B31%7D%7B32%7D%20%20%5Cleqslant%20x%20%5Cleqslant%201%20%5Cfrac%7B1%7D%7B32%7D%20)
A nail of length 1.05 inches
Maximum nail length = 1 1/32 = 1.031
1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe
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