## anonymous one year ago What is the solution to the set of lx-2l>3? X<1 or x>-5 X<-1 or x>5 X>1 or x<-5 X>-1 or x<5

1. anonymous

What is the degree of the polynomial 2h^5+3h^4+h^2-3

2. anonymous

1. $\left| x-a \right|>b \implies \left( x-a \right) <-b ~and~\left( x-a \right)>b$

3. anonymous

2. highest degree of h

4. anonymous

I have no clue what you said

5. SolomonZelman

do you know what |x-2| means ?

6. anonymous

No

7. anonymous

@SolomonZelman

8. anonymous

I also have 1 more question after this if you don't mind helping

9. SolomonZelman

we can't jump like this (it's not basketball)

10. SolomonZelman

So, when you say |4| that means "absolute value of a 4 (i.e. a distance of 4)

11. SolomonZelman

tell, me what do you get for 4-0 and for 4-8 ?

12. anonymous

4 and -4

13. SolomonZelman

yes

14. anonymous

Do I just plug in the numbers into x?

15. SolomonZelman

hold on, follow along with me

16. anonymous

Okay

17. SolomonZelman

if you say |4-0| or |4-8| (the first one mean "the absolute value of 4 minus 0" , and that is "the distance from 4 to 0") (the first one mean "the absolute value of 4 minus 8" , and that is "the distance from 4 to 8") both of these distances (from 4 to 0, and from 4 to 8) are (each of them is) =4

18. SolomonZelman

let me draw this

19. SolomonZelman

|dw:1435287030792:dw|

20. SolomonZelman

|dw:1435287260043:dw|

21. SolomonZelman

|4-8| = ? (can you tell me . when you are done reading)

22. anonymous

-4 or 4

23. SolomonZelman

no, only 4

24. SolomonZelman

it is the distance. (You can walk 4 miles, but you don't walk -4 miles)

25. anonymous

So there can't be a negative

26. SolomonZelman

yes, when every there is an absolute value marks |...|

27. SolomonZelman

when ever*

28. anonymous

Okay so the answer to my question would be x<-1 or x>5?

29. anonymous

Or would it be x<1 or >-5

30. SolomonZelman

|x-2|>3 means that there is a point x on a number line, the distance from which, to a 2, is greater than 3 units. ------------------------------------ x<-1 means that x is smaller than -1 |-1.1 - 2|>3 |-3.1|>3 3.1>3 true?

31. SolomonZelman

or x>5 means that x is greater than 5 |5.1-2|>3 |3.1|>3 3.1>3 true?

32. SolomonZelman

yes, x<-1 or x>5 is correct

33. anonymous

Thank you! I understand now

34. anonymous

How would I use the quadratic formula to solve x^2+5x=-2. Using complete sentences

35. anonymous

@SolomonZelman