## Jameshappy 3 years ago 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 :)

1. Jusaquikie

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

Kk so explanation please :) I dont really get it

3. Jusaquikie

is this for algebra?

4. Jameshappy

pre-algerba actually

5. Jusaquikie

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

6. Jameshappy

you minus it?

7. Jameshappy

-3 on each side?

8. Jusaquikie

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

9. Jusaquikie

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

10. Jameshappy

kk keep it going :)

11. Jusaquikie

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

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

12?

14. Jusaquikie

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

15. Jameshappy

oops nvm i get it

16. Jameshappy

ohh i was right nvm again :P

17. Jusaquikie

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

18. Jusaquikie

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

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

20. Jameshappy

can you put it in a simple way ?

21. Jusaquikie

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

22. Jusaquikie

3x means 3 times x

23. Jameshappy

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

24. Jusaquikie

just like x/3 is x divided by 3

25. Jameshappy

so x=15?

26. Jameshappy

because 15/3=3

27. Jusaquikie

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

yes i think your starting to understand a bit

29. Jusaquikie

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

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

31. Jusaquikie

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

32. Jameshappy

oh ok get it:)

33. Jusaquikie

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

34. Jameshappy

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

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

36. Jusaquikie

you are trying to get d by itself

37. Jameshappy

kick the d out?

38. Jusaquikie

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

how?

40. Jusaquikie

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

41. Jameshappy

uhmm divide it?

42. Jameshappy

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

43. Jusaquikie

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

44. Jameshappy

Oh lol you doing a 7th grader math hw

45. Jusaquikie

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

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

47. Jameshappy

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

48. Jusaquikie

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

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

50. Jusaquikie

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

51. Jameshappy

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

52. Jameshappy

multiply it right?

53. Jusaquikie

yes so what is 6/6

54. Jameshappy

oh so the answer gonna 6?

55. Jusaquikie

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

|dw:1352952613102:dw|

57. Jusaquikie

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

59. Jusaquikie

|dw:1352952779790:dw|

60. Jusaquikie

|dw:1352952857801:dw|

61. Jameshappy

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

62. Jusaquikie

how good are you with fractions?

63. Jusaquikie

you might need to review them some

64. Jusaquikie

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

65. Jameshappy

66. Jusaquikie

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

67. Jameshappy

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

68. Jusaquikie

sure

69. Jameshappy

English?

70. Jusaquikie

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

71. Jameshappy

oh wow lol fine back to math

72. Jameshappy

lol im done with everything now, im free :)