Question

I have some math problems involving that you have to solve an inequality in interval notations and I don't know how to do it.

Answer 1

Rule:

\[\Large |x| > k\]

breaks down into

\[\Large x > k \ \ \text{or} \ \ x < -k\]

where k is some positive number

Answer 2

so in your case,

|x-2| > 13

turns into

x-2 > 13 or x-2 < -13

Answer 3

I don't get it. What would my answer be?

Answer 4

would it be 15??

Answer 5

I'm assuming you added 2 to both sides of x-2 > 13, right?

Answer 6

yes