Question

what is the solution set |x-8| > 5.6 and how do i go about it for future problems?

Answer 1

its asking for interval notation.

Answer 2

i got my inequalities backwards

Answer 3

so what exactly does that mean? lol

Answer 4

5.6 <x+8 <-5.6

Answer 5

so i am getting -2.4<x<-13.6 ?

Answer 6

|x-8| means the modulus value (or positive value) of x-8
For example if x=4,
x-8 = (4)-8 = -4
However,
|x-8| = 4 as you take the positive value.

\[Therefore |x-8|>5.6 is the same as x-8>5.6 and x-8<-5.6\]

So your answers are x>13.6 and x<3.6.

Understand?

Answer 7

x<2.4 sorry

Answer 8

so there is no 13.6 involved?

Answer 9

\[x \in(-\infty,2.4)\cup(13.6,\infty)\]

Answer 10

x>13.6 and x<2.4

Answer 11

ahh ok! thank you!