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heyitslizzy13

  • one year ago

can someone help me please!(:

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  1. heyitslizzy13
    • one year ago
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  2. heyitslizzy13
    • one year ago
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    hi, can someone help me write this in set notation, find the solution and write it in interval notation, and how to graph it

  3. Hero
    • one year ago
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    First, subtract 1 from both sides

  4. heyitslizzy13
    • one year ago
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    ok :)

  5. heyitslizzy13
    • one year ago
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    what should I do next

  6. Hero
    • one year ago
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    Use the draw feature to Post your work

  7. heyitslizzy13
    • one year ago
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    |dw:1442685887228:dw|

  8. heyitslizzy13
    • one year ago
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    sorry it's really messy

  9. Hero
    • one year ago
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    That's perfect. Next rewrite 1 As A fraction So that both fractions have the same denominator

  10. heyitslizzy13
    • one year ago
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    |dw:1442686057579:dw|

  11. Hero
    • one year ago
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    That's a good start I suppose. But we need both fractions to have the same denominator. Remember, anything over itself Is 1 . Can you think of a way to rewrite 1 so that both fractions have the same denominator?

  12. heyitslizzy13
    • one year ago
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    |dw:1442686299242:dw|

  13. Hero
    • one year ago
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    Awesome . Now you can combine the fractions but be careful. am going to help you with this next step.

  14. heyitslizzy13
    • one year ago
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    ok

  15. Hero
    • one year ago
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    Hang on a minute.

  16. heyitslizzy13
    • one year ago
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    alrighty :)

  17. Hero
    • one year ago
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  18. heyitslizzy13
    • one year ago
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    the denominator doesn't cancel out?

  19. Hero
    • one year ago
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    when you rewrite 1 as a fraction, especially When doing subtraction of algebraic expressions, you should make a habit of placing parenthesis around the egression in the numerator so that you remember to distribute the negative

  20. heyitslizzy13
    • one year ago
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    i did and i got 1 :/

  21. Hero
    • one year ago
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    Let me ask you this: What is 5/6 minus 2/6

  22. heyitslizzy13
    • one year ago
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    |dw:1442686808756:dw|

  23. heyitslizzy13
    • one year ago
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    3/6

  24. heyitslizzy13
    • one year ago
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    i seeee

  25. Hero
    • one year ago
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    How come you didn't do 6-6 to get zero?

  26. heyitslizzy13
    • one year ago
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    ok so now it's|dw:1442686906249:dw|

  27. heyitslizzy13
    • one year ago
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    that's how i learned it you don't subtract when they're the same :) ok i see what you're saying

  28. Hero
    • one year ago
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    perfect. Now factor the denominator.

  29. heyitslizzy13
    • one year ago
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    |dw:1442686993828:dw|

  30. Hero
    • one year ago
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    Very good. Now we should make A number line and plot our critical points. Any ideas on that?

  31. heyitslizzy13
    • one year ago
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    what're critical points?

  32. Hero
    • one year ago
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    The critical points are the values On the number line that are not in the domain of the expression' They are the values that x Cannot equal

  33. heyitslizzy13
    • one year ago
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    3 and -2?

  34. Hero
    • one year ago
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    correct, now draw a number line that induces those points.

  35. heyitslizzy13
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    |dw:1442687325243:dw|

  36. Hero
    • one year ago
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    Or rather, that excludes those points. Hence open circle

  37. heyitslizzy13
    • one year ago
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    is that correct

  38. Hero
    • one year ago
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    I recommend writing the number line this way for clarity And Simplicity

  39. heyitslizzy13
    • one year ago
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    okay

  40. Hero
    • one year ago
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    The reason you want to Write it that way is because it shows three distinct intervals that we can work with.

  41. heyitslizzy13
    • one year ago
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    alright

  42. Hero
    • one year ago
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    Next we Will test convenient Values between the critical points by inserting those convenient points from each interval into the factored expression.

  43. Hero
    • one year ago
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    One easy convenient Value We can test is x=0

  44. Hero
    • one year ago
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    If it passes the test, then the interval x=0 comes from is at least one Of the solutions

  45. heyitslizzy13
    • one year ago
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    it does not pass it

  46. Hero
    • one year ago
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    Okay, if not then, We can eliminate that interval ( -2 , 3) as a possible solution

  47. Hero
    • one year ago
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    try testing one value from each of the other two Intervals.

  48. heyitslizzy13
    • one year ago
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    -1 does not work either

  49. heyitslizzy13
    • one year ago
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    1 works

  50. Hero
    • one year ago
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    -1 is from the interval ( -2 , 3)

  51. Hero
    • one year ago
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    We already eliminated that Interval

  52. heyitslizzy13
    • one year ago
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    wait but 1 worked

  53. Hero
    • one year ago
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    Okay sorry, We need to line modify our number line because 1 is also a critical point.

  54. heyitslizzy13
    • one year ago
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    oh yeahhhhh

  55. heyitslizzy13
    • one year ago
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    okay i see

  56. heyitslizzy13
    • one year ago
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    the circle is shaded in for 1 right?

  57. Hero
    • one year ago
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  58. heyitslizzy13
    • one year ago
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    ok nice nice

  59. Hero
    • one year ago
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    So We have 4 intervals now that We need to test. Pick values from each.

  60. heyitslizzy13
    • one year ago
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    2 is true

  61. Hero
    • one year ago
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    Let me know what works and What doesn't

  62. heyitslizzy13
    • one year ago
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    -3 also works

  63. Hero
    • one year ago
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    I agree the 2 And-3 Works. Anything else?

  64. heyitslizzy13
    • one year ago
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    -4 also

  65. Hero
    • one year ago
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    -3 and -4 are from the sand Interval. pµc values from the Other two intervals you haven't checked yet

  66. Hero
    • one year ago
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    same interval *

  67. heyitslizzy13
    • one year ago
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    4 does not work

  68. heyitslizzy13
    • one year ago
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    I've tried from all intervals now

  69. heyitslizzy13
    • one year ago
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    -3 works

  70. heyitslizzy13
    • one year ago
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    -1 and 0 don't

  71. heyitslizzy13
    • one year ago
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    2 works

  72. heyitslizzy13
    • one year ago
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    and 4 does not

  73. Hero
    • one year ago
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    So what is the solution for the original inequality?

  74. heyitslizzy13
    • one year ago
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    in interval notation it'd be

  75. heyitslizzy13
    • one year ago
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    |dw:1442689021631:dw|

  76. Hero
    • one year ago
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    Congratulations, you've earned a medal for your hard work.

  77. heyitslizzy13
    • one year ago
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    thank you!! can you tell me the difference between set notation and interval notation?

  78. Hero
    • one year ago
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    Here's a good tutorial that explains well enough: http://www.regentsprep.org/regents/math/algebra/ap1/intervalnot.htm

  79. Hero
    • one year ago
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    If you have any questions about it feel free to ask

  80. heyitslizzy13
    • one year ago
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    i understand the interval notation but the set notation throws me off, how could i write it

  81. Hero
    • one year ago
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    i. We use curly brackets for set notation. ii The vertical bar separates two descriptive Components The Componentt to the left of the bar identifies the variable and the number line used. In this case, the variable is x And the number line represents all real numbers. The component to the right't the vertical bar simply identities ' the Solution interval

  82. heyitslizzy13
    • one year ago
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    what're descriptive components

  83. heyitslizzy13
    • one year ago
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    okay so in this case i want to represent the number line right

  84. Hero
    • one year ago
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    The descriptive components of a set are simply mathematical statements or expressions used to identify things like the variable, the number line and the interval Of interest. These things just simply tell you how to re-construct the number line

  85. Hero
    • one year ago
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    Yes, give it a Shot

  86. heyitslizzy13
    • one year ago
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    |dw:1442690853126:dw| ://

  87. Hero
    • one year ago
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    Well, not exactly. First you hare to rewrite each Interval notation as an inequality.

  88. heyitslizzy13
    • one year ago
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    how could i do that

  89. Hero
    • one year ago
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    For example ( a,b) means the same as a<x<b

  90. heyitslizzy13
    • one year ago
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    |dw:1442691229604:dw|

  91. Hero
    • one year ago
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    Okay, now Write the set notation and include all the appropriate Components,

  92. Hero
    • one year ago
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    Oh, don't forget to use the correct inequality symbol for Inclusion

  93. heyitslizzy13
    • one year ago
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    |dw:1442691352299:dw|

  94. Hero
    • one year ago
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    That's almost perfect but we don't know what Kind of set x IS.

  95. heyitslizzy13
    • one year ago
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    mm what do you mean?

  96. Hero
    • one year ago
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    X belongs to what kind of Set? Integers?, natural numbers? Real Numbers?

  97. heyitslizzy13
    • one year ago
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    real numbers

  98. Hero
    • one year ago
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    Correct

  99. Hero
    • one year ago
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    Add that to your set builder notation.

  100. heyitslizzy13
    • one year ago
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    thank you!!(: can you help me on one more problem? I've started it but i'm not sure if i'm doing it correctly

  101. Hero
    • one year ago
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    Okay

  102. Hero
    • one year ago
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    Create a new question though.

  103. heyitslizzy13
    • one year ago
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    okay

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