Question

What is the solution set of |x – 2| > 3?

Answer 1

define when x is equal to 3 for a boudary position

Answer 2

boundary that is :)

Answer 3

|x-2| = 3 ....

Answer 4

I'm sorry I don't get it ;w; On my homework sheet it has two solutions for answers.

x < 1 or x > –5

x < –1 or x > 5

x > 1 or x < –5

x > –1 or x < 5

Answer 5

I don't get how I'm supposed to find two answers.

Answer 6

do you recall what an absolute value represents?

Answer 7

The distance from 0?

Answer 8

absolute values measure distance, not direction is a good way to remember it :)

3 feet to the left is the same distance as 3 feet from the right, so in math terms we ignore the sign

|-3| = |3| = 3

so, we have to find values such that

|x-2| = 3, then x-2 = 3 or x-2 = -3 both fit the bill

Answer 9

graphically it looks like this

Answer 10

there are two solutions that satisfy the condition

Answer 11

So -1 and 5

Answer 12

good, now since we are looking for 1 variable; lets use 1 line to represent it and mark it with -1, 0 , and 5

Answer 13

when x=0, what do we get?

Answer 14

|x-2| = n when x=0?

Answer 15

n = 2

Answer 16

very good, lets use that to our advantage