I never understood this

[full pasture]

Exactly

It makes sure we get the absolute difference between two numbers

We don’t actually care if one is above the other or which one is bigger

For the limit we simply want the distance

[hardy nova]

I still don't get it, like then why if its negative it stays negative

like if I had x=3, then |-3| this would be = to 3 so why -x

[full pasture]

Because -(-3) is 3

[radiant sparrow]

let say x = 3, then |x| = 3 = x
now let's say x = -3, then |x| = 3 = -(-3) = -x

[hardy nova]

wouldn't it be |x| = 3 = -(-3) = -(-x)?

[hardy nova]

then its x not -x

I don't understand

[radiant sparrow]

in the 2nd case it's x = -3 not x = 3, so -x

[hardy nova]

but |-x| is x

[heady portal]

x = -3
-3 < 0
|x| = -x = -(-3) = 3```

[hardy nova]

oh wait

now I feel dumb

if x is -3 then -x is -(-3) cuz one - sign is from the 3 and one from the x