.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

johnweldon1993 · Answer

When you have an absolute value bar like that...you really have 2 equations...

x - 0.525 = 0.01
  + 0.525    + 0.525
-------------------
x = 0.535

and

x - 0.525 = -0.01
  +0.525      +0.525
-------------------
x = 0.515

Make sense?

So altogether it would be between those numbers...

$$\large 0.515\le x \le 0.535$$