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xRAWRRx3

  • 2 years ago

Solve: -|2m-1| < 2 and please explain how to solve it.

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  1. Coolsector
    • 2 years ago
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    |f(x)|<y -> -y < f(x) < y

  2. Coolsector
    • 2 years ago
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    |f(x)| > y -> f(x) > y , f(x) < -y

  3. Coolsector
    • 2 years ago
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    can you do it now ?

  4. xRAWRRx3
    • 2 years ago
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    um, no, I don't get what you mean by all that..

  5. Coolsector
    • 2 years ago
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    ok if we divide the equation by -1 what will we get ?

  6. xRAWRRx3
    • 2 years ago
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    well, my teacher said to change the < to a = when I solve these types of problems so i would get: |2m-1| = -2

  7. Coolsector
    • 2 years ago
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    ok if you want to do it this way you dont have to divide.. but if you done it already now you know to find m's that satisfy |2m-1| = -2 ?

  8. xRAWRRx3
    • 2 years ago
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    well, to get rid of the absolute values first, I just seperated it into 2m -1 = -2 and 2m -1 = 2 like my teacher told me to and I got the answers -1/2 and 3/2 but when I tried to check it, it doesn't seem right..

  9. Coolsector
    • 2 years ago
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    you have to plug now some m<-1/2 like m = -1 -1/2 < m < 3/2 lke m = 1 and m>3/2 like m = 2 in the original equation and see if it holds

  10. Coolsector
    • 2 years ago
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    when does it hold?

  11. Coolsector
    • 2 years ago
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    are you there?

  12. xRAWRRx3
    • 2 years ago
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    yeah sorry, I tried numbers but it didn't work...

  13. xRAWRRx3
    • 2 years ago
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    can someone else tell me how to solve this or if I'm doing something wrong?

  14. Coolsector
    • 2 years ago
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    why? when you plug m=-1 what do you get?

  15. xRAWRRx3
    • 2 years ago
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    i get -4 <2

  16. Coolsector
    • 2 years ago
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    so it holds isnt it?

  17. Coolsector
    • 2 years ago
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    -4 is indeed smaller than 2

  18. xRAWRRx3
    • 2 years ago
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    yes, I know but the answers i got for m and every other number works too which shouldn't be happening

  19. Coolsector
    • 2 years ago
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    it works for every m

  20. Coolsector
    • 2 years ago
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    it is obvious.. the original question is negative number < 2 so it always holds i wanted to work on the technique with you

  21. xRAWRRx3
    • 2 years ago
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    i don't get how that can work though...so the answer is that all numbers work?

  22. Coolsector
    • 2 years ago
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    yes it is obvious .. all the negative numbers are smaller than 2

  23. Coolsector
    • 2 years ago
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    if you didnt see it at the original question you could see it when you asked yourself |2m-1| = -2 ? it is never happens .. since left hand side of the equation is always positive !!

  24. xRAWRRx3
    • 2 years ago
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    ohhhh, okay, thank you :)

  25. Coolsector
    • 2 years ago
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    yw;)

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