## ali2x2 one year ago Which of the following apply to the graph on the inequality? Please mark all choices that apply. x > 7 There is a colored dot at 7. There is an open dot at 7. Shading goes to the left. Shading goes to the right.

1. butterflydreamer

maybe you should start off by graphing first :) So, do you know how to graph x = 7 ?

2. ali2x2

Im really new to graphing Can you show me an example? :)

3. ali2x2

Hello? Butterflydreamer are you there at the moment?

4. ali2x2

Im really new to graphing Can you show me an example? :)

5. butterflydreamer

sureeee. So if the question wanted you to sketch x > 3. The first thing that you would want to do is to sketch x = 3 x = 3 will look something like this: |dw:1435922992502:dw| The open circle means that the number 3 is not included which is TRUE because we have "x>3" which means x is greater than 3 and not equal to three :) Similarly, if we graph x>3 on a number plane, it will look like: |dw:1435923238945:dw|

6. ali2x2

Hmm ok so i have used the number line and i understand the shaded region Ok so i have one answer to my multiple choice question i have there is an open dot at 7. Is that correct?

7. ali2x2

And since x is bigger than 7 does that mean that the next answer is that the shading goes to the right?

8. UsukiDoll

if you have a > or < we have an open dot if you have a $\geq \leq$ we have a closed dot.

9. UsukiDoll

yes that's right. good job :D

10. ali2x2

@butterflydreamer So both of my answers are correct?

11. butterflydreamer

yeeepp ^_^

12. ali2x2

Yaaaaaa Thank you @butterflydreamer :D You too @usukidoll :D

13. UsukiDoll

tip: we can shade based on the tail of the sign |dw:1435923724903:dw|

14. ali2x2

But what does colored dot mean? ._.

15. UsukiDoll

oops forgot my dot |dw:1435923785771:dw|

16. UsukiDoll

the direction... you are shading right at the tail of the sign... that's why I circled the tail at the > sign similarly if we have the < sign... based on the tail , we are shading left.

17. UsukiDoll

I remembered doing this wrong back in middle school and that lingered to high school because she mentioned shade the region according to pac man's mouth... but it turns out to be opposite of that

18. ali2x2

Huh so its like reverse psychology

19. UsukiDoll

yup stuck with me since

20. UsukiDoll

|dw:1435923932894:dw|

21. ali2x2

Ok that's great to hear someone is available would you mind another question? Ok ill save that to the computer real quick

22. UsukiDoll

it depends on the question as I have not done some of these topics since over 5 years ago.

23. ali2x2

Ok

24. ali2x2

Which of the following numbers would be in the solution set of this inequality? Mark all that apply. ≤ -2 -12 -13 0 -14

25. ali2x2

wait the image didnt load

26. UsukiDoll

maybe we can let x be whatever the choices are and then plug them in T_T! Gawd I'm not confident in this x.x

27. butterflydreamer

firstly, you want to get rid of the fraction :) To do this multiply both sides by 2

28. ali2x2

Neither am i >_> You think its easy being in online school? Its a nightmare O_O

29. ali2x2

But what will i multiply x with i wont know what i will get?

30. UsukiDoll

I've read about online school being a nightmare... I think online school has recently became popular as I went to traditional school through all my years.

31. UsukiDoll

well as @butterflydreamer mentioned we can multiply both sides by 2 to get rid of the fraction

32. ali2x2

|dw:1435924292268:dw|

33. ali2x2

SOO SORRY I PUT IN THE WRONG DRAWING DX

34. UsukiDoll

draw a ... jsdlafjdsalk it's ok XD!

35. ali2x2

xD

36. butterflydreamer

jookkkesss LOL Okay, multiply both sides by 6 to get rid of the fraction :)

37. ali2x2

@butterflydreamer But x is unknown what will i do?

38. UsukiDoll

maybe you can plug in one of those choices you're given for x ?

39. ali2x2

Really i dont understand what you just said i cant because those are the answers not what i am given to use right?

40. UsukiDoll

Your question did say which of the following numbers would be the solution to the inequality .

41. butterflydreamer

|dw:1435924547669:dw| now what does 2 times 6 equal to?

42. UsukiDoll

so I'm thinking since you have those numbers x = 0,-12,-13,-14 plug one of them into the equation... to see if the inequality holds true or not.

43. ali2x2

Hmm ok this is really a hard one XD 12 :P

44. ali2x2

Wait -12 correct because thats only one of the following answers im given.

45. butterflydreamer

.... wait is your question: |dw:1435924733751:dw|

46. ali2x2

Yet again i fail to write the correct question. Yes it is that @butterflydreamer

47. UsukiDoll

well we can skip steps since we already got rid of the 6 and solved the right hand side.

48. UsukiDoll

|dw:1435924844795:dw|

49. butterflydreamer

xD alright... okay so now we multiply both sides by 6 |dw:1435924809593:dw|

50. UsukiDoll

ok now given x = 0,-12,-13,-14 which of these values will work.

51. ali2x2

Thats you guys your really helping me bye

52. UsukiDoll

we are looking for less than or equal to because of that symbol. so any x less than or any x equal will work

53. butterflydreamer

then remember that: |dw:1435924899098:dw|

54. butterflydreamer

*is less than or equal to -12