dmezzullo 2 years ago Please solve each of the inequalities below and graph the solution on a number line. x – 3 > –9

1. Dr.Professor

x > -6 2. –2x + 1 ≤ –11 -2x ≤ -12 x ≥ 6 3. 10 < –3x + 1 -3x + 1 > 10 -3x > 9 x < -3 4. 2(x + 5) > 8x – 8 2x + 10 > 8x - 8 8x - 8 < 2x + 10 6x < 18 x < 3 5. –2(x – 3) ≥ 5 – (x + 3) -2x + 6 ≥ 5 - x - 3 4 ≥ x x ≥ 4

2. Dr.Professor
3. Dr.Professor

@dmezzullo

4. dmezzullo

It would have been nice if u could of not gotten the answers off google.

5. Dr.Professor

So, buddy, it was already solved

6. nubeer

you have to make "x" isolate. so u can do that by adding 3 on both sides.

7. dmezzullo

Can one of u guys help with the graphs?

8. Dr.Professor

Lemme explain, according to the code of conduct I can copy and answer, but I also need the source and hence I'd Given

9. nubeer

sure.

10. Dr.Professor
11. nubeer

when u solve u will get x> -6, it means the value of x is greater then -6 so first you draw a number line

12. dmezzullo

|dw:1363694637625:dw|

13. Dr.Professor

@dmezzullo , Sir, Here, I've got a client, Thats you, sir I wanna say that I have pasted the URL above in th comment. Please check it and save time. Best Wishes, @Dr.Professor

14. dmezzullo

Which url?

15. Dr.Professor
16. Dr.Professor

Sir, did you get that

17. dmezzullo

it dont help

18. nubeer

|dw:1363695012276:dw|

19. nubeer

|dw:1363695036018:dw| got this so far?

20. Dr.Professor

Sir, the process is, 1) Click on the Link, 2) See the graph, 3) Investigate it, 4) Ask Doubts, 5) Be free, Check it!

21. nubeer

now make a circle at the value we found.. |dw:1363695185074:dw|

22. nubeer

|dw:1363695217104:dw|

23. dmezzullo

Ok, lemme try the next one

24. nubeer

sure.. if still any confusion just ask me out

25. dmezzullo

Ok, u tell me if it is wrong

26. nubeer

ok

27. dmezzullo

Wait imma do #3 bc im not sure wut to do for #2

28. dmezzullo

|dw:1363695538390:dw|

29. nubeer

yup. perfectly fine.

30. nubeer

what's hard with 2?

31. dmezzullo

it has the line under the > so idk if tht changes anything

32. nubeer

yes it changed something very little.. you have to put a dot rather then a circle.

33. nubeer

but a bold dot.

34. dmezzullo

oh ok lemme try it then

35. dmezzullo

wait im confused wince it is +6 would i go to 5 next or 7

36. nubeer

well answer u got is x greater then equal to +6 so u have to point the arrow towards the greater values then 6.

37. dmezzullo

ok tyvm

38. dmezzullo

|dw:1363695994614:dw|

39. dmezzullo

Is that right?

40. nubeer

yes it is right.

41. dmezzullo

okie

42. dmezzullo

|dw:1363696204568:dw|

43. nubeer

hmm which question is this one?

44. dmezzullo

#4

45. dmezzullo

no it should be 3

46. dmezzullo

on the graph shouldnt it?

47. nubeer

for question for u got x< -3 so arrow should point towards the value less then -3

48. nubeer

oops for question 4

49. nubeer

damn sorry x<3

50. dmezzullo

oh lemme redraw it

51. dmezzullo

|dw:1363696430998:dw|

52. nubeer

yup .. correct .. this was #4

53. dmezzullo

|dw:1363696529947:dw|

54. nubeer

yup correct bro..

55. dmezzullo

tyvm now 2 more things if u dont mind sir

56. nubeer

not at all.

57. dmezzullo

Explain, in complete sentences, when you would use an open circle or a closed circle, and when you would shade to the right or left, to graph an inequality on the number line.

58. nubeer

hmm well bro i can tell u in simple words or explain u in easy words .. so u just have to put urself in proper sentences .. is that ok?

59. dmezzullo

Yes tht fine

60. nubeer

ok first.. open circle is when we get < or > sign in our final answer.. same like in question #1 and closed circle when we get answer < or > having lines under, as u can see in the answer of #2 question..

61. nubeer

we shade to left when x< (any value) |dw:1363697010246:dw| like this for #4

62. nubeer

and we shade towards right when we get x> (any value) for example if x> 6 we will shade all the part forward from the point 6.

63. nubeer

got it bro?

64. dmezzullo

Oh ok.

65. dmezzullo

1 more q.

66. dmezzullo

Describe a real life scenario where inequalities are used and state the inequality.

67. dmezzullo

So the senario would be: Teens in florida have to be at least 15 or older to get their learners permit to drive.

68. dmezzullo

But i am not totally sure wut the graph would look like.

69. nubeer

hmm well if we say x is the age.. for learner permit x >(line under) 15

70. dmezzullo

|dw:1363697462126:dw|

71. nubeer

yes this is the in eguality

72. nubeer

now draw the graph which is a number line and label it

73. dmezzullo

wut u mean?

74. nubeer

umm .. i mean draw a number line.. just the line with numbers u need.?

75. kelliegirl33

just remember if there is an equal sign in the inequality, it has a closed circle.

76. nubeer

ohh lol we dont need to graph this question.. or do we?

77. kelliegirl33

we can if you want to....it is good practice

78. dmezzullo

I believe we dont

79. nubeer

ok then just write inequality with the scenario you told.. and that's it i guess

80. dmezzullo

ok ty soooo very much how can i ever repay u?

81. kelliegirl33

|dw:1363697698821:dw|

82. nubeer

hahah bro.. lol u don't need to repay at all :)

83. dmezzullo

Ok that was alot of work i will write u a testimonial

84. nubeer

Sweet... :)