SOLUTION: The daily production P in an automobile assembly plant is always within 20 units of 500 units. Write the daily production as an absolute value inequality, then solve to find the ra

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Question 1113518: The daily production P in an automobile assembly plant is always within 20 units of 500 units. Write the daily production as an absolute value inequality, then solve to find the range of daily productions possible.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The expression |a-b| means the difference between a and b, regardless of which is larger.

The given statement says that the difference between P and 500 is always less than or equal to 20. So

abs%28p-500%29%3C=20

To solve the inequality algebraically, note that the inequality says that the value of (p-500) is between -20 and +20. So

-20+%3C=+P-500+%3C=+20
-20%2B500+%3C=+P+%3C=+20%2B500
480+%3C=+P+%3C=+520