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marcelie

  • one year ago

Help me !!!! For the following exercises solve the equation below and express the answer using set notation. l 6-x l = 5 But the answer is 1, 1/2 , -2. How did they get these answers ?

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  1. marcelie
    • one year ago
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    This is what i did : l 6-x l = 5 -x +6 = 5 x = 1 ? please tell me if i am correct or wrong ?

  2. sohailiftikhar
    • one year ago
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    you are correct

  3. imqwerty
    • one year ago
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    yea x=1 or x=11 are the answers :) u are 100% correct :D

  4. zzr0ck3r
    • one year ago
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    I would not say you are 100% correct. You are 50% correct. Remember \(|A|=b\) means \(a=b\) and \(-a=b\) So you have \(6-x=5\) which gives \(x=1\) But we must also consider \[-(6-x)=5\] which leads to \(x=11\).

  5. sohailiftikhar
    • one year ago
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    yes

  6. zzr0ck3r
    • one year ago
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    But we are all actually wrong as it asked for the answer in set notation, so the answer is \(\{1,11\}\)

  7. marcelie
    • one year ago
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    so the interval notation is from smallest to biggest ?

  8. imqwerty
    • one year ago
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    \[\left\{ 1,11 \right\}\]means that there r 2 elementary solutions 1 and 11 :)

  9. sohailiftikhar
    • one year ago
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    when ever you see the modulus you have to consider the negative and positive values means less then the positive value and greater than the negative value like that \[\left| x \right|=4\] it means -4<x>4

  10. marcelie
    • one year ago
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    oh okay . Got it !! Thank Yous !!! I have another equation bur under same category. l 4x-2 l =11 x= 13/4 and x = -9/4 ? interval notation : { -9/4 , 13/4 }

  11. anonymous
    • one year ago
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    You are correct

  12. marcelie
    • one year ago
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    for my second problem ?

  13. sohailiftikhar
    • one year ago
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    yes! :) now you got the concept buddy

  14. sohailiftikhar
    • one year ago
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    now close this question and ask new :)

  15. marcelie
    • one year ago
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    Okay. I checked my solution book and it did include the - 9/4 ?

  16. marcelie
    • one year ago
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    i mean 9/4 .

  17. sohailiftikhar
    • one year ago
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    wait in book -9/4 is not given ?

  18. marcelie
    • one year ago
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    yes , the interval notation says { 9/4 , 13/4}

  19. sohailiftikhar
    • one year ago
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    no it will be -9/4 to 13/4 not 9/4

  20. marcelie
    • one year ago
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    Okay . Thanks.

  21. sohailiftikhar
    • one year ago
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    np

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