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ali2x2

  • one year ago

Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set. x/6 ≥ 3 In your own words: - Tell how to solve inequalities. Be specific and complete. - Tell how to graph inequalities. Be specific and complete. Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set. x/6 + 4 ≥ 2

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  1. ali2x2
    • one year ago
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    Hello?

  2. Astrophysics
    • one year ago
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    Hi, well what have you tried?

  3. Astrophysics
    • one year ago
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    \[\frac{ x }{ 6 } \ge 3\] this should be an easy one, how would you solve for x?

  4. ali2x2
    • one year ago
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    Im not smart when it comes to this :/ @Astrophysics

  5. Astrophysics
    • one year ago
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    That's ok, just try your best I don't judge :)

  6. Astrophysics
    • one year ago
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    How would you go about isolating x in your question, it's just like normal algebra with a funny looking sign, that has a few extra rules, such as when you divide or multiply by negative, the sign flips :P

  7. ali2x2
    • one year ago
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    well i thought placeing 6 on the so it would be 6/6 = 1 but the 3 wins and that wouldnt be right

  8. ali2x2
    • one year ago
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    :P

  9. Astrophysics
    • one year ago
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    Hey do you know how to use the draw tool?

  10. ali2x2
    • one year ago
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    MHm

  11. Astrophysics
    • one year ago
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    |dw:1437028552079:dw| just show what you mean on here

  12. Astrophysics
    • one year ago
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    You can click on the drawing on top right, there should be a pencil

  13. ali2x2
    • one year ago
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    |dw:1437028576910:dw|

  14. ali2x2
    • one year ago
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    |dw:1437028595529:dw|

  15. ali2x2
    • one year ago
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    |dw:1437028608859:dw|

  16. ali2x2
    • one year ago
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    THats what i ment but it is wrong

  17. Astrophysics
    • one year ago
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    Mhm, well when doing algebra, you want to sort of balance things out, so it equals. What ever you do on one side you must always do to the other, and a really cool thing about algebra is, to do such things you just do the opposite operation of what already exists.

  18. ali2x2
    • one year ago
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    Amazing :P

  19. Astrophysics
    • one year ago
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    |dw:1437028694384:dw|

  20. Astrophysics
    • one year ago
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    See how that works?

  21. ali2x2
    • one year ago
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    Yes

  22. Astrophysics
    • one year ago
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    Since I multiplied the left side by 6 so I could get x alone, I also have to do the same on the right to balance it out.

  23. ali2x2
    • one year ago
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    6 cancel eachother out

  24. ali2x2
    • one year ago
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    then multiply 6 x 3

  25. Astrophysics
    • one year ago
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    Yes, what you do one side, you must do to the other, remember that :)

  26. ali2x2
    • one year ago
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    Ok :)

  27. Astrophysics
    • one year ago
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    Now solutions to the problem could be any integer that is greater than or equal to 18.

  28. ali2x2
    • one year ago
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    But how do i find that

  29. Astrophysics
    • one year ago
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    So you could even put \[18 \ge 18\]

  30. ali2x2
    • one year ago
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    But wouldnt that be 18 = 18

  31. ali2x2
    • one year ago
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    ?

  32. Astrophysics
    • one year ago
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    Look at your problem, notice the symbol |dw:1437028879538:dw|

  33. Astrophysics
    • one year ago
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    The little line under the greater than means equal

  34. ali2x2
    • one year ago
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    XD oh i forgot.

  35. Astrophysics
    • one year ago
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    So we say greater than or equal to

  36. Astrophysics
    • one year ago
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    So you could say your solution set is [18,19,20] :)

  37. ali2x2
    • one year ago
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    Ok

  38. ali2x2
    • one year ago
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    Wait how did i get 18 19 and 20 i just add them there?

  39. Astrophysics
    • one year ago
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    No, that is just a solution set as your question asks.

  40. ali2x2
    • one year ago
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    Oh

  41. Astrophysics
    • one year ago
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    You could put any 3 numbers greater/ equal to 18...

  42. ali2x2
    • one year ago
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    :P

  43. Astrophysics
    • one year ago
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    Now, how would you graph that?

  44. ali2x2
    • one year ago
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    Can you stay here and see if i can get the next 2 correct?

  45. ali2x2
    • one year ago
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    Graph mt answer?

  46. Astrophysics
    • one year ago
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    |dw:1437028983964:dw| here I made a graph for you, now graph the expression \[x \ge 18\]

  47. Astrophysics
    • one year ago
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    Yes, you must read your question carefully, it asks you to solve the inequality, get a solution set and graph.

  48. ali2x2
    • one year ago
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    THis is confusing O.o ??? I have no idea :(

  49. Astrophysics
    • one year ago
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    Ok, if I asked you to graph x = 18, how would you do that?

  50. ali2x2
    • one year ago
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    oh

  51. ali2x2
    • one year ago
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    |dw:1437029208610:dw| I DONT KNOWWWwwww

  52. ali2x2
    • one year ago
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    :(

  53. ali2x2
    • one year ago
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    I really wanna learn this

  54. Astrophysics
    • one year ago
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    No, that's not how you graph, compare it with mine, but x = 18 is just a vertical line. |dw:1437029309947:dw|

  55. Astrophysics
    • one year ago
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    Now you want greater than equal to, notice I made it a solid line for that purpose, when you have greater than/ less than with equal you make the line solid, when it's just greater/ less than than it's a dotted line.

  56. Astrophysics
    • one year ago
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    So we just shade in the area |dw:1437029385587:dw| that is \[x \ge 18\]

  57. Astrophysics
    • one year ago
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    To the right of the axis, as it's positive.

  58. ali2x2
    • one year ago
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    so if the "alligator" Is facing left the shading goes right

  59. Astrophysics
    • one year ago
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    Yes, but you should not think like that, you should know it means greater than.

  60. ali2x2
    • one year ago
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    Ok

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