Question

Which graph represents the solution set for the inequality shown here?

|x - 2| < 4

Answer 1

graph?

Answer 2

now, x-2 must <4 or x-2<-4

Answer 3

I do not understand

Answer 4

okay, |x-2| is actually \(\sqrt{(x-2)^2}\)
\( |x-2|>4\)
\(\sqrt{(x-2)^2}>4\)
squaring both sides,
\((x-2)^2>16\)
so, \(x-2>\pm 4\)

Answer 5

so that would be graph C?

Answer 6

sorry, it's x−2<±4

Answer 7

which graph is that? I dont know how to read it

Answer 8

-4<x-2<4
-2<x<6
the last one

Answer 9

okay thank you

Answer 10

you're welcome :)