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

whoa
should be
\[|x-0.525|\leq 0.01\]

Answer 2

It's not.

Answer 3

well it if is not, it should be
let me guess, another FLVS question?

Answer 4

in any case it means \(x\) is within \(0.01\) units of \(0.525\)
solve
\[-0.01\leq x-0.525\leq 0.01\] by adding \(0.525\) all the way across

Answer 5

I have any answer could you check it?

Answer 6

yes

Answer 7

you should have two numbers, right?

Answer 8

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

Answer 9

top one is right, bottom not

Answer 10

it is not possible for \(-|x-0.525|\) to be equal to \(0.01\) because the absolute values is positive
think you got confused on the second one but we can fix is quickly

Answer 11

when you solve
\[|x-0.525=0.01|\] you do have to write two equations, but those equation so not have absolute values in them
the two equations you solve are
\[x-0.525=0.01\] which was your first one, and also
\[x-0.525=-0.01\]

Answer 12

typo there, i meant when you solve
\[|x-0.525|=0.01\]

Answer 13

Could you help me get the right answer on the second?

Answer 14

the second is
\[x-0.525=-0.01\] solve just like the first, by adding \(0.525\) to both sides, gets
\[x=0.525-0.01\]

Answer 15

so two answers are
\[0.535\] and \[0.515\] i.e. \(0.01\) units above and below \(0.525\)

Answer 16

I had that?

Answer 17

hmm no you had it negative
-x + 0.525 = 0.01
-x = 0.01 - 0.525
-x = 0.515
x = - 0.515

Answer 18

actually the first line there
\[-x+0.525=.0.1\\
-x=0.01-0.525\] are right

Answer 19

x - 0.525| = 0.01

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

-x + 0.525 = 0.01
-x = 0.01 - 0.525
-x = 0.515
x = - 0.515
so these are correct?

Answer 20

yes

Answer 21

?

Answer 22

Hello?

Answer 23

yes