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Question
estefani is designing the manufacturing that will produce packing material for a particular computer chip. the packing material needs to be within 0.8 mm of the desired thickness, which is 18.0 mm. which equation can estefani use to represent the limits of the width, w, of the packing material? |18.0 - w| = 0.8 |0.8 - w| = 18.0 |18.0 + w| = 0.8 |0.8 + w| = 18.0
Step1: Understand absolute - value meaning
The absolute - value of the difference between the actual width \(w\) and the desired thickness represents the deviation.
The desired thickness is \(18.0\) mm and the maximum deviation is \(0.8\) mm.
The equation for the deviation of \(w\) from \(18.0\) mm is \(|18.0 - w|\) (or \(|w - 18.0|\), which is equivalent). Since the deviation should be equal to \(0.8\) mm, the equation is \(|18.0 - w|=0.8\).
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\(|18.0 - w| = 0.8\)