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Tolerance and packaging. A dog food manufacturer has a tolerance

Tolerance and packaging. A dog food manufacturer has a tolerance of 0.2 lbs per bag on dog food bags weighing 5.0 lbs (Ideal weight). The equation to represent the difference is f(x) = |Actual weight – Ideal weight| where x is the actual weight. So, we can write this as f(x) = | x – 5|

(a) Write and solve an absolute value inequality to describe the acceptable weights of “5 lb” bags , given that the tolerance is + 0.2 lbs.
(b) Write and solve an absolute value inequality to describe the unacceptable weights of “5 lb” bags, given that the tolerance is + 0.2 lbs.
(c) Graph the absolute value equation. (To graph an absolute value in geogebra.org you enter absolute value as abs. Therefore if you are graphing f(x) = |x+2| you would enter it as f(x) = abs(x+2) )
(d) Explain how your answers to (a) and (b) relate to the graph in part (c).
(e) Think about your area of study. Explain how a related absolute value inequality might be used in your discipline.