Question

Solve inequality
|x-1|<|x-2|

Answer 1

try

Answer 2

i squared both sides

Answer 3

Is 1 less than 1?

Answer 4

we want you to try and solve this before we give help

Answer 5

lol sith

Answer 6

This doesn't have a solution.

Answer 7

(x-1)(x-1)<(x-2)(x-2)
x^2-2x+1<x^2-4x+4

Answer 8

How do you figure you can square both sides?

Answer 9

even if you squared both sides, no solution still exists because the condition can never be true

Answer 10

@Abmon98, So is it
\[|x-2|<|x-2|\]
or
\[|x-1|<|x-2| ?\]

Answer 11

because an absolute value
|x-1| is the same as sqrt((x-1)^2)

Answer 12

Second equation @SithsAndGiggles

Answer 13

man, type your problem correctly!

Answer 14

iam sorry

Answer 15

Ok well \(|x-1|\) equals \(x-1\) or \(-(x-1) = 1-x\)

Answer 16

Same thing applies for \(|x-2|\).

Answer 17

So we have four equations... not all of them will work but we can write them anyway: \[
x-1<x-2\\
1-x<x-2\\
x-1<2-x\\
1-x<2-x
\]Try solving each one.

Answer 18

i solved the question, thank you for your help @wio :D