4.A quality control inspector is in charge of inspecting drill bits that are produced on an assembly line. The diameter of a drill bit can be modeled by the equation |x − 0.525| = 0.01. Show your work in solving the equation to determine the minimum and maximum diameters of the drill bits.

Question

aaronq · Answer

|x − 0.525| = 0.01

So we have 2 scenarios, where the two furthest points lie $\pm$0.01 from 0.525

 x − 0.525 = 0.01                              -(x − 0.525) = 0.01
               x = 0.01+0.525                    -x + 0.525 = 0.01
               x =0.535                                            -x = 0.01-0.525
                                                                          -x = -0.515
                                                                            x = 0.515