In order to ensure compliance with the law, miguel routinely overshoots the weight of his tortillas by 0.5 gram. he just received a report that told him that he could be losing as much as $100,000 per year using this practice. he now plans to buy new equipment that guarantees the thickness of a tortilla within 0.005 inch. if the ideal thickness of a tortilla is 0.04 inch, what tortilla thickness will be guaranteed?

.035≤x≤0.045

Explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−0.04|≤0.005

Rewrite as a compound inequality.

−0.005≤x−0.04≤0.005

Solve the inequality.

0.035≤x≤0.045

Answer the question. The tortillas will have a maximum thickness of 0.045 inch and a minimum thickness of 0.035 inch.

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answer: b. false

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