Question

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.

Answer 1

the | | means absolute value
if the "stuff" inside is positive, then you can drop them (they are not necessary)
if you have | x | and x is negative, then this is the same as -x (because -x will be positive)

in general, you will get two equations for your problem
|x − 0.525| = 0.01
becomes
x − 0.525 = 0.01 (where x-0.525 is positive)
or
-(x − 0.525) = 0.01

solve both equations to find the max and min values of x

Answer 2

I'm sorry but I have no idea what I'm foing do I add 0.525 to both sides
@phi

Answer 3

first, pick one of the equations
let's do

x − 0.525 = 0.01

yes, add +0.525 to both sides
x − 0.525+0.525 = 0.01+0.525
can you simplify both sides?

Answer 4

x=0.535 @phi

Answer 5

| x - 0.525| = 0.01

x - 0.525 = 0.01
x = 0.01 + 0.525
x = 0.535

-| x - 0.525| = 0.01
-x + 0.525 = 0.01
-x = 0.01 - 0.525
-x = 0.515
x = - 0.515
@phi

Answer 6

the first one is correct
the second is ok up to
-x = 0.010 - 0.525
one way to do this is multiply both sides and *all* terms by -1
to get
x= -0.010 + 0.525
which is easier to work

Answer 7

minimum is : -0.515 diameter
maximum is : 0.535 diameter
Am I right @phi

Answer 8

yes for the max. redo the min