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anonymous

  • 5 years ago

-7(x+4)9x<2(2x-8)-3x solve the inequality help not very good at math

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  1. anonymous
    • 5 years ago
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    Distrubute the factors and multiply it out. Then simplify. Treat the inequality just as you would an equal side. The only tricky thing to remember is if you divide by a negative you have to change which way the inequality goes.

  2. amistre64
    • 5 years ago
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    is the equation correct as stated?

  3. anonymous
    • 5 years ago
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    yes

  4. anonymous
    • 5 years ago
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    Do you know how to do the distribution step?

  5. amistre64
    • 5 years ago
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    -36x(x+4) > 4x - 16 - 3x -36x^2 - 144x > x-16 is correct?

  6. anonymous
    • 5 years ago
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    no i dont not very good at algebra and to u amistre i think so

  7. amistre64
    • 5 years ago
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    lets figure out what I did :) lets start with an easy example... 3(8) = 24 right?

  8. anonymous
    • 5 years ago
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    yes

  9. amistre64
    • 5 years ago
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    then: 3(6+2) should also equal 24 right?

  10. anonymous
    • 5 years ago
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    yes

  11. amistre64
    • 5 years ago
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    then this should also work for us: 3(6) + 3(2) = 24 18 + 6 = 24 24 = 24 .... do you see that? its called the distributive property and it allows us to "distribute" the 3 thru the (6+2) to get the answer.

  12. anonymous
    • 5 years ago
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    oh ok i understand now

  13. amistre64
    • 5 years ago
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    2(2x-8) distribute this for me then :)

  14. anonymous
    • 5 years ago
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    4x-16

  15. amistre64
    • 5 years ago
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    very good :)

  16. amistre64
    • 5 years ago
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    -7(x+4) how about this one?

  17. anonymous
    • 5 years ago
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    -7x-28

  18. amistre64
    • 5 years ago
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    excellent work..... see how easy that is :)

  19. anonymous
    • 5 years ago
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    yes i do

  20. amistre64
    • 5 years ago
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    that left side has one more "distribution" to take care of: 9x(-7x-28) is what? I know you can do this...

  21. anonymous
    • 5 years ago
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    -56x-252

  22. amistre64
    • 5 years ago
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    look over your "multiplication" work again and try that again.... 9x(-7x) +9x(-28) ....

  23. anonymous
    • 5 years ago
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    wait i meant -63x-252

  24. anonymous
    • 5 years ago
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    i see what mistake i made

  25. amistre64
    • 5 years ago
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    very good, but remember to include the "x". x(x) = x^2 ; which means x squared.

  26. amistre64
    • 5 years ago
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    -63x^2 -252x ..... ok?

  27. anonymous
    • 5 years ago
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    -63x2-252x right?

  28. amistre64
    • 5 years ago
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    that is correct.... -63x^2 -252x < 4x -16 -3x is what we are up to now.... do you know what we should do now?

  29. anonymous
    • 5 years ago
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    simplify

  30. amistre64
    • 5 years ago
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    we can simplify this to some extent yes, we can "combine" like terms..

  31. amistre64
    • 5 years ago
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    -63^2 -252x < 4x-3x -16 -63x^2 -252x < x -16 Do you know how to move things from one side to the other? Its important to be able to do this while keeping the balance between them the same.... does that make sense?

  32. anonymous
    • 5 years ago
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    yes it makes sense i think i do how to move one side to the the other

  33. amistre64
    • 5 years ago
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    let me give you an easy example to remind you: 10 < 15 right? then 1+2+3+4 < 4+5+6 right?

  34. anonymous
    • 5 years ago
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    yes

  35. amistre64
    • 5 years ago
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    to keep everything in balance...whatever we "add" or "remove" from one side has to be done to the other.... right? lets subtract "4" from each side 1+2+3+4 -4 < 4+5+6 -4 1+2+3 < 5+6 ; 6>11

  36. anonymous
    • 5 years ago
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    that make sense

  37. amistre64
    • 5 years ago
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    i flipped my sign around didnt i....

  38. anonymous
    • 5 years ago
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    yeah.

  39. amistre64
    • 5 years ago
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    its these fat fingers and this tiny little keyboard :)

  40. anonymous
    • 5 years ago
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    lol its ok i do that to

  41. amistre64
    • 5 years ago
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    -63x^2 -252x < x -16 lets make the lefthand side = 0, to do that we need to "add" their value to both sides

  42. amistre64
    • 5 years ago
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    -63x^2 [+63x^2] -252x [+252x] < [+63x^2] +x [+252x]-16

  43. amistre64
    • 5 years ago
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    0< 63x^2 +253x -16 is what we get right?

  44. anonymous
    • 5 years ago
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    yes thats what i got

  45. amistre64
    • 5 years ago
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    now comes the hard part, because it gets a little on the "advanced" side of things for this one..... but we can use a formula called the "quadratic" formula to find the values for "x" that make this equal to zero... wanna try it out?

  46. anonymous
    • 5 years ago
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    yes

  47. amistre64
    • 5 years ago
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    ok.... notive that we have numbers in front of all of our "terms". they are 63, 253, and -16. we want to use these in our quadratic formula....

  48. anonymous
    • 5 years ago
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    ok

  49. amistre64
    • 5 years ago
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    -253 + sqrt(253^2 - (4)(-16)(63)) ------------------------------ 2(63) this aint gonna be pretty :)

  50. anonymous
    • 5 years ago
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    is sqrt is square rIght?

  51. amistre64
    • 5 years ago
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    yes, sqrt() is what I use to indicate the square root "umbrella" and everything inside of the () is what is under the "umbrella".

  52. amistre64
    • 5 years ago
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    where ever did you get this inequality at? its almost a nightmare :)

  53. anonymous
    • 5 years ago
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    its on a study guide but i have to go my computer is missing up thanxs for the help

  54. amistre64
    • 5 years ago
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    your welcome..

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