## agdgdgdgwngo 3 years ago Find all numbers x for which |x - 3| = 8

1. myininaya

really?

2. agdgdgdgwngo

there are harder ones coming after this one

3. myininaya

lol

4. agdgdgdgwngo

I just want to do a sanity check before I tackle the other ones

5. myininaya

you know what you should do?

6. agdgdgdgwngo

abs(x-3) = x-3 if x-3 > 0 else -(x-3)

7. myininaya

you should ask them to solve both of these |x-3| <-8 and |x-3|=-8

8. JoãoVitorMC

x-3 = 8 x= 11 and -(x-3) = 8 -x+3 = 8 x = -5

9. myininaya

i bet you a lot of them would get it wrong

10. agdgdgdgwngo

lol that is the very next question

11. myininaya

i don't know how many times i have told me on here |something| does not have negative output so |f(x)|=-8 has no solution |f(x)|>0 is never less than 0

12. agdgdgdgwngo

so x-3 = 8 or x-3 = -8 so -5 <= x <= 11 is that right?

13. agdgdgdgwngo

lol I'm wrong

14. myininaya

or you still talking about the equation you gave?

15. agdgdgdgwngo

yes

16. myininaya

that one guy has it right

17. agdgdgdgwngo

yeah :-D

18. myininaya

did you mean for it to be an inequality?

19. agdgdgdgwngo

no he's right

20. myininaya

ok

21. myininaya

omg i'm so bored

22. myininaya

i'm gonna go

23. Meron

+-11

24. Meron

oh sorry i mean x=+-5