## Jameshappy Group Title So i have a problem and it's about inequality, and it required me to answer it in a complete sentence, little help please :) Problem: Glenda has a $40 gift certificate to a cafe that sells her favorite tuna sandwich for$3.75 after tax. What are the possible number of tuna sandwiches that Glenda can buy with her gift certificate?! And it even said to define a variable, write an inequality then solve. Anyone help me? Thanks :) one year ago one year ago

1. Jusaquikie Group Title

3.75x<40 x<40/3.75 let me know if you understand, i'll hang out a bit to answer your questions.

2. Jameshappy Group Title

Kk so explanation please :) I dont really get it

3. Jusaquikie Group Title

is this for algebra?

4. Jameshappy Group Title

pre-algerba actually

5. Jusaquikie Group Title

do you know how to solve for x? as in 3x=15

6. Jameshappy Group Title

you minus it?

7. Jameshappy Group Title

-3 on each side?

8. Jusaquikie Group Title

ok think of the equal sign as line, and you want to balance each side out

9. Jusaquikie Group Title

if you have 3 times some number = 15 then 3 times what would give you 15?

10. Jameshappy Group Title

kk keep it going :)

11. Jusaquikie Group Title

x is just a number that we don't know what it is yet but we knw that 3*(this number) is 15

12. Jusaquikie Group Title

now if we didn't know that 3*5 is 15 we could take the 3 to the other side and then all we have on the 1 side is x=

13. Jameshappy Group Title

12?

14. Jusaquikie Group Title

that would be right it it were 3+x=15 but if it's 3*x we have to divide 3

15. Jameshappy Group Title

oops nvm i get it

16. Jameshappy Group Title

ohh i was right nvm again :P

17. Jusaquikie Group Title

think of the equal sign like the opposite side, so if you 3*5=15 then 3=15/5

18. Jusaquikie Group Title

if it's multiplied on 1 side then to move it you devide the other side by what your moving, if it's just + or - then you change the sign and add or subtract from the other side

19. Jameshappy Group Title

so 3x=15 then its gonna be 15+3=x?

20. Jameshappy Group Title

can you put it in a simple way ?

21. Jusaquikie Group Title

no if x is next to a number without a + or minus between that means x multiplied by the number

22. Jusaquikie Group Title

3x means 3 times x

23. Jameshappy Group Title

ok gotcha i know that but how to make it balance on either sides?

24. Jusaquikie Group Title

just like x/3 is x divided by 3

25. Jameshappy Group Title

so x=15?

26. Jameshappy Group Title

because 15/3=3

27. Jusaquikie Group Title

so if you had $\frac{ x }{ 3 }=5$ that would mean that you would need to multiply both sides by 3 so you would get $\frac{ 3x }{ 3 }=5*3$ the 3 and 3 cancle out and your left with x=3*5 or 15

28. Jusaquikie Group Title

yes i think your starting to understand a bit

29. Jusaquikie Group Title

they are still equal if you do the same thing to both sides so to move 3+x=15 we would subtract 3 from both sides and we get x+12 if we have 3x=15 we have to divide both sides by 3 so we get x=15/3 or 5 if we have x/3= 5 we multiply both sides by 3 and get x= 3*5 or 15

30. Jameshappy Group Title

OH i get it so back to the problem 3x=15 would be x=5?

31. Jusaquikie Group Title

< and > work the same way if 3+2>4 then 3>4-2

32. Jameshappy Group Title

oh ok get it:)

33. Jusaquikie Group Title

yes that is correct lets' try this one to be sure you understand $4x=20$ what is x?

34. Jameshappy Group Title

So what about this prbolem? : 2/3 > 1/2 - d/6 / <---- mean " over". Like 2 over 3, 1 over 2 and d over 6

35. Jusaquikie Group Title

ok treat the > just like you would = what would you do first?

36. Jusaquikie Group Title

you are trying to get d by itself

37. Jameshappy Group Title

kick the d out?

38. Jusaquikie Group Title

no we want to save that for last wet's get the addition/subtraction out of the way first, $\frac{ 2 }{3 }>\frac{ 1 }{ 2 }-\frac{ d }{ 6 }$ so if we move 1/2 over it becomes -1/2

39. Jameshappy Group Title

how?

40. Jusaquikie Group Title

so$\frac{ 2 }{ 3 }-\frac{ 1 }{ 2 }>\frac{ d }{ 6 }$ now how do we subtract fractions?

41. Jameshappy Group Title

uhmm divide it?

42. Jameshappy Group Title

OMG im so dump. SOrry im just wasting your time :P

43. Jusaquikie Group Title

you need a common denominator, nah it's ok i need a break from my Calculus homework lol

44. Jameshappy Group Title

Oh lol you doing a 7th grader math hw

45. Jusaquikie Group Title

don't worry about the d/6 right now one piece at a time, math is all in baby steps, when we try to skip stuff we make mistakes so think of it as doing what we know how to make it simpler and right now we can make it simple by subtracting our fractions 2/3-1/2

46. Jusaquikie Group Title

yeah some day you can help out a seventh grader lol and it's all be good

47. Jameshappy Group Title

haha thanks :) OK back to the prob. so 2/3 - 1/2 gonna be 1?

48. Jusaquikie Group Title

so to subtract the denominator has to be the same so we make them the same by finding something in common or cross multiplying so $\frac{ 2*2 }{ 3*2 } - \frac{ 1*3 }{ 2*3 } = \frac{ 4 }{ 6 }-\frac{ 3 }{6 }$

49. Jameshappy Group Title

oh yeah i forgot im not that good at math :P or sp its gonna be 1/6 ?

50. Jusaquikie Group Title

now we have $\frac{ 1 }{ 6 }>\frac{ d }{6 }$ what would happen if we multiplied both sides by 6?

51. Jameshappy Group Title

uhm it still gonna be the same number. But since it lready 6 so i dont think we have to

52. Jameshappy Group Title

multiply it right?

53. Jusaquikie Group Title

yes so what is 6/6

54. Jameshappy Group Title

oh so the answer gonna 6?

55. Jusaquikie Group Title

no, if you have a slice of pizza that is 1/6 of the pizza and then you multiply that by 6 what do you have?

56. Jameshappy Group Title

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57. Jusaquikie Group Title

the bottom number means that your top number is cut in to that many pieces so 1/6 of a pizza means that you have 6 pieces to make a whole pizza

58. Jameshappy Group Title

59. Jusaquikie Group Title

|dw:1352952779790:dw|

60. Jusaquikie Group Title

|dw:1352952857801:dw|

61. Jameshappy Group Title

ohhh..... i don't get it.

62. Jusaquikie Group Title

how good are you with fractions?

63. Jusaquikie Group Title

you might need to review them some

64. Jusaquikie Group Title

(1/1) = (2/2)=(3/3)=(4/4)=(5/5)=(6/6) all =1

65. Jameshappy Group Title

66. Jusaquikie Group Title

6d/6 is the same as (6/6)*d or 1*d or just d

67. Jameshappy Group Title

I might need to ask my teacher for that, can you help me with something else instead?

68. Jusaquikie Group Title

sure

69. Jameshappy Group Title

English?

70. Jusaquikie Group Title

lol nah I don't like English as much as math, good luck

71. Jameshappy Group Title

oh wow lol fine back to math

72. Jameshappy Group Title

lol im done with everything now, im free :)