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anonymous

  • 4 years ago

if y<-2, then |y+2|/(y+2)=? i do not get this at all can someone please explain this to me?? what am I suppose to do and why?

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  1. myininaya
    • 4 years ago
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    \[|y+2|=y+2 \text{ if } y+2>0 => y>-2\] \[|y+2|=-(y+2) \text{ if } y+2<0 => y<-2\]

  2. myininaya
    • 4 years ago
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    \[\frac{-(y+2)}{y+2} =\frac{-1}{1}=-1\]

  3. amistre64
    • 4 years ago
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    since its an inequality your output is a range of values

  4. amistre64
    • 4 years ago
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    top is always + and bottom always - so the results are going to be - as a result

  5. anonymous
    • 4 years ago
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    okay so what would you do if 14<x, then |14-x|=? I'm just confused how you know when to do -(14-x) or just (14-x)

  6. amistre64
    • 4 years ago
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    x is always grater than 14

  7. amistre64
    • 4 years ago
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    14-14 = 0 and everything gerter than that is just +

  8. amistre64
    • 4 years ago
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    greater than that

  9. amistre64
    • 4 years ago
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    ...negative, but still the abs makes it positives

  10. anonymous
    • 4 years ago
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    I know but the solution is -14+x why did they choose to do -(14-x) instead of 14-x

  11. anonymous
    • 4 years ago
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    I must be missing something....

  12. amistre64
    • 4 years ago
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    say x is greater than 14, x=20 for example: 14-20=-6 but we cant HAVE a -6 equal to an | |

  13. myininaya
    • 4 years ago
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    \[|14-x| =14-x \text{ if } 14-x>0\] \[|14-x|=-(14-x) \text{ if } 14-x<0\]

  14. amistre64
    • 4 years ago
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    so they chose the one that will match it

  15. myininaya
    • 4 years ago
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    we want the output to be postive

  16. myininaya
    • 4 years ago
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    if 14-x<0, then -(14-x)>-0

  17. myininaya
    • 4 years ago
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    that is 0 not -0

  18. anonymous
    • 4 years ago
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    ahhh so y<-2 we want the output to be negative?

  19. amistre64
    • 4 years ago
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    yes

  20. myininaya
    • 4 years ago
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    \[y<-2 => y+2<0 => |y+2|=-(y+2) \text{ since y+2 is negative }\]

  21. anonymous
    • 4 years ago
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    I think I get it now that you guys so much!!! you just kind of have to sample the equation

  22. amistre64
    • 4 years ago
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    yes, sample it to see what will make sense overall :)

  23. myininaya
    • 4 years ago
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    i like my way if x>0 then |x|=x if x<0 then |x|=-x (-x gives us postive output because x is negative)

  24. myininaya
    • 4 years ago
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    x>0 means x is positive while x<0 means x is negative

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