## ramirokool 3 years ago Solve |5x – 8| > 12. Answer {x| -0.8 < x < 4} {x| -4 < x < 4} {x| x > 4 or x < -0.8} {x| x < -4 or x > 0.8}

1. TuringTest

what foes absolute value mean @ramirokool ?

2. TuringTest

*does

3. TuringTest

if we had |x|=2 what could x possibly be?

4. ramirokool

The magnitude of a real number without regard to its sign.

5. TuringTest

right, so |x|=2 means x could be what two numbers?

6. ramirokool

a 4 and a 0.8 ? their should be a negative.

7. ramirokool

I got C on my sheet.

8. ramirokool

You divide.

9. TuringTest

|x|=2 means that we ignore the sign of x - that is all

10. TuringTest

|4|=4 that's not 2, so no

11. TuringTest

|0.8|=0.8 also not 2, so not correct

12. ramirokool

Go step by step.

13. TuringTest

I am, are you lost in what i just said?

14. ramirokool

Nope.

15. hba

@TuringTest Dude he just needs the answer :D

16. TuringTest

@hba do not assume that, he's working with me right now

17. TuringTest

ok, so considering things like that |-6|=6, and |0.88|=0.88 what could |x|=2 possibly be?

18. ramirokool

2

19. TuringTest

or...?

20. ramirokool

no or.

21. TuringTest

yes or, what is |-2| ?

22. ramirokool

but if it in the box would it be postive?

23. TuringTest

yes, so |-2|=?

24. ramirokool

2 ?

25. TuringTest

right, so |x|=2 means x could be what TWO numbers?

26. hba

Any thing which comes between | | < this becomes positive :)

27. ramirokool

-2 and 2

28. TuringTest

correct :)

29. TuringTest

so for |x|=y that means either x=y or -x=y

30. ramirokool

-x =y

31. TuringTest

so you problem is |5x – 8| > 12 based on what we just discussed, |5x - 8|>12 means that 12> what two expressions?

32. TuringTest

rather, 5x-8 could be what two numbers?

33. ramirokool

I still think it C cause that what I got, 0.8 and 4.

34. TuringTest

it's not C

35. TuringTest

|a|=b implies that either a=b or a=-b

36. ramirokool

My mistake D.

37. TuringTest

yes :)