I've done this but Idk why x = 2 isn't a correct answer

[shadow gorge]

I know that | x - 2 | and | 2 - x | cancel each other out on both sides and after that I just checked all cases where the | | are positive or negative and I've got x = 0.4 or x = 2 or x = 4.67 but the middle one is incorrect Idk why

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[shadow gorge]

This is after the cancelation looks better here

[upper bramble]

x cant be equal to 2. just put x =2 in the eqn, LHS = 0 and RSH = 8. so yeah x cant be equal to 2, maybe u have done some mistake

[shadow gorge]

But isn't the next step after the cancelation to check like all cases

Wait I'll do it quickly wait

[shadow gorge]

Here

I was checking the case where the first | | is positive and the second one is negative

And I get x = 2

[upper bramble]

where is that 4 in the RHS?

[shadow gorge]

I've already added it to the - 2

[upper bramble]

oh ok

wait what are critical points u have taken?

the critical points should be 2 and -2

[shadow gorge]

I didn't know that was a necessary step 😭

[upper bramble]

so check for the condition where x>2, -2<x<2 and x<-2

hope it will help

[shadow gorge]

But I don't really understand whyy we do all that I always thought we just had to like check all cases

Why are the critical points -2 and 2

[upper bramble]

cause u are getting x = 2 and -2 upon equating the two modulus to 0

[shadow gorge]

Ookayy

But what now that we have this little thing

[upper bramble]

yeah

[shadow gorge]

What are like

Uhh wait Idk the word in English

Domain?

Like the domain of x

[upper bramble]

range

[shadow gorge]

Yess that

[shadow gorge]

How do we know the range of x from that

[upper bramble]

just put any number greater than 2 and the sign inside the modulus accordingly remove the mod with sign

[shadow gorge]

Ohh could you maybe show an example 😭

[upper bramble]

ohh

I am not at home rn

[shadow gorge]

It's okay I think I understand it now

Thank youu

[upper bramble]

welcome

u got the answer right?

[shadow gorge]

I understood it with this little grid

[shadow gorge]

And yes it makes sense now

[upper bramble]

yeah right

[shadow gorge]

Yess ty againn

Cyaa

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