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anonymous

  • one year ago

Hiya! Would somebody be able to check my answer? The solution of -t/18 > 10 is t < - 180. True or false? I believe the answer to be True because the absolute value can never be negative. Would really appreciate the extra help. Thanks!

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @dan815

  3. dan815
    • one year ago
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    This is not an absolute value question only when you see the 2 lines around it |....|

  4. dan815
    • one year ago
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    -t/18 > 10 you can solve this inequality if you multiply both sides by 18 it will still hold that the left side is greater than the right side -t/18 * 18 > 10*18 -t>180 now you can multiply both sides by -1 but if you multiply by -1 the greater than sign becomes less than sign t<-180

  5. dan815
    • one year ago
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    so its true

  6. dan815
    • one year ago
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    to understand why -1 flips the sign, take a look at another example

  7. dan815
    • one year ago
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    look at the number line, lets suppose there is some number b and some number a, and b is more than a

  8. dan815
    • one year ago
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    |dw:1435850978096:dw|

  9. dan815
    • one year ago
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    |dw:1435851027798:dw|

  10. dan815
    • one year ago
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    so we went from b>a to -b<-a both of these are saying the same thing just in a different way

  11. dan815
    • one year ago
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    now you know why multiplying by -1 flips the inequality sign

  12. anonymous
    • one year ago
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    Ok. I was thinking it was not absolute value however it was included in an all absolute value worksheet so I was not sure (that's why I asked.) I just did not know if you changed the greater sign to a less sign, which you have now clarified for me that you do. Thank you again for the help!!!! yay

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