1. The daily production P in an automobile assembly plant is within 20 units of 500 units. Express the daily production as an absolute value inequality.

2. The area A of a region is approximately equal to 12.436. The error in this approximation is less than 0.001. Describe the possible values of this area both with an absolute value inequality and with interval notation.

3. If N = 3.65 x 10–3 is a number from a measurement, then we assume an accuracy of 3.65 x 10–3 + 5 x 10–6. Express the accuracy assumption using an absolute value inequality.

4. A delivery truck leaves a warehouse and travels north to factory A. From factory A the truck travels east to factory B and then return directly to the warehouse (see figure). The driver records the truck’s odometer reading at the warehouse at both the beginning and the end of the trip and also at factory B, but forgot to record it at factory A (see table). The driver does recall that it was further from the warehouse to factory A than it was from factory A to factory B. Since delivery charges are based on distance from the warehouse, the driver needs to know how factory A is from the warehouse. Find this distance.

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