Question

Tell me what I did wrong, please? Because, like... I'm not even sure, I DID the right equation...

|x – 2|– 1 > 2
-2>x-2-1>2
+2 +2 +2
x-1>4

Answer 1

wrong concept!

Answer 2

Hint:

if |x| > k for some positive number k, then

x > k or x < -k

Answer 3

can I have a better hint please? D:

is it like this?:

-2>x-2-1>2

because k is 2
and if -k>x then -2>x

Answer 4

|x – 2|– 1 > 2

add 1 to both sides

Answer 5

|x – 2|– 1 > 2

|x – 2| > 3

x-2 > 3 or x-2 < -3

Answer 6

your job is to solve x-2 > 3 and x-2 < -3 for x

Answer 7

okay, I think I can take it from there! :3

Answer 8

So, the answer is?:

-1>x>5

Answer 9

no

Answer 10

I can see how you got that though

Answer 11

x - 2 > 3 turns into x > 5

x - 2 < -3 turns into x < -1

but you cannot combine x > 5 and x < -1 to get -1 > x > 5 because that simply doesn't make sense to do so

Answer 12

what -1 > x > 5 means is that there is a number that's BOTH less than -1 AND greater than 5...but that's simply not possible

Answer 13

Unless it considers that any greater number is actually a lower number...

anyways, um, like... so the answer still is:

x<-1
x>5

Answer 14

yeah you just say

x < -1 or x > 5

Answer 15

or something like that

Answer 16

doing it in interval notation may be a better way to do it

Answer 17

Alright, it's just I normally comprehend it as -1>x>5 before continuing to x<-1 or x>5.. ;=;

Answer 18

-1>x>5 would be the same as "-1 > x AND x > 5"

Answer 19

so is there a number that makes -1 > x AND x > 5 both true at the same time?

Answer 20

Anything between -1 and 5.

Answer 21

so 0 would work?

Answer 22

0 is less than -1?

0 is greater than 5 ?

Answer 23

Actually, it's saying that x is greater than 5. But, if -1 is considered greater than x. Then the answer has to be in logical terms, than any decreasing number is higher than the increasing number.

Answer 24

I'm referring to -1 > x > 5 though

Answer 25

also...-1 > x > 5 would have to mean that -1 > 5, but that's also not true

so that's why -1 > x > 5 doesn't work at all

Answer 26

But, that's in mathematical terms, where as to the negative numbers are considered meaningless and not important. While in logical terms to create "AND", it is simple. But, yeah, you can't make AND mathematically. Only logically.

Answer 27

not sure what you mean since much of math is based on logic