Question 139994
an airplane manufacturer is producing a ball bearing whose diameter is to measure 1.7500 inches. the manufacturing process is required to be extremely accurate. the tolerance allowed on the ball bearing is one ten-thousanth of an inch. 
a. on a number line, graph the range of acceptable diameters for the ball bearing.
Make this graph so you can see why the following answers are what they are.
You should put a point at 1.75. Then draw an interval 0.0001 to the right
to 1.7501 and 0.0001 to the point 1.75-0.0001 = 1.7499 to the left.
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b.write a compound inequality for the range of acceptable diameters for the ball bearing. 
1.7499 <= x <= 1.7501
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c.write an absolute value inequality for the range of acceptable diameters for the ball bearing 
|x-1.75| <= 0.001
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d.write and absolute value inequality for the range of diameters of ball bearings that are rejected by the manufacturer.
|x-1.75| > 0.001
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Cheers,
Stan H.