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kenneyfamily

solve the inequality (-2/3) | x+5 | < 12 a. x >7 or x<-7 b. x>7 or x< -17 c. -17<x<7

  • one year ago
  • one year ago

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  1. Hero
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    Hint: Multiply both sides by -3/2

    • one year ago
  2. kenneyfamily
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    |x+5| < -18 @Hero ??

    • one year ago
  3. RadEn
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    if when multiply by a negative number ur equation sign must reverse be >

    • one year ago
  4. Hero
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    If one side represents distance and the other side has a negative number, can distance be negative?

    • one year ago
  5. kenneyfamily
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    i thought that was only for division?

    • one year ago
  6. RadEn
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    division still family with multiply :p

    • one year ago
  7. Hero
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    Bro, if you multiply or divide by a negative number, it doesn't matter. You have to switch signs.

    • one year ago
  8. Hero
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    |x+5| > -18 Now that gives us a valid equation to work with since distance (being positive) can be greater than a negative number.

    • one year ago
  9. kenneyfamily
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    ok so | x+5 | > -18. now you subtract 5 right? so thats x > -23. thats not a choice

    • one year ago
  10. Hero
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    Bro, the five is trapped inside the absolute value symbol. What will you do to "free" it?

    • one year ago
  11. kenneyfamily
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    i dont know

    • one year ago
  12. Hero
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    18 > x + 5 > -18 x + 5 < 18 x + 5 > -18

    • one year ago
  13. Hero
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    x < 18 - 5 x > -18 - 5

    • one year ago
  14. kenneyfamily
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    x<13 and x>-23

    • one year ago
  15. kenneyfamily
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    but how does that help? its not a choice

    • one year ago
  16. kenneyfamily
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    @Hero ? sorry to bother you

    • one year ago
  17. RadEn
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    the question is wrong :p

    • one year ago
  18. kenneyfamily
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    great....so my best guess? maybe c? @RadEn

    • one year ago
  19. RadEn
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    yes, like u said before the solution should be x<13 or x>-23 (dont use word "and")

    • one year ago
  20. RadEn
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    or similar by : -23 < x < 13

    • one year ago
  21. Hero
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    I think the solution is all real numbers

    • one year ago
  22. Hero
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    I double-checked on my calculator and on wolframalpha

    • one year ago
  23. RadEn
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    yea, all real number :) - multiply by abs number always be negative, right ? because abs number must be positive

    • one year ago
  24. Hero
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    Yeah, this is the type where you cannot solve for x by using normal algebra methods. You just have to look at it and realize distance will always be greater than a negative number

    • one year ago
  25. Hero
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    @kennyfamily, double check and make sure you posted the question correctly.

    • one year ago
  26. RadEn
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    recheck again ur question @kenneyfamily

    • one year ago
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