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californiagirl55 Group Title

Please help: 4/5x + 5 < -3

  • one year ago
  • one year ago

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  1. californiagirl55 Group Title
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    I haven't done many problems like this before, what part should I do first?

    • one year ago
  2. RoamingBlue Group Title
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    start by subtracting 5 from both sides so that you get the x by itself

    • one year ago
  3. californiagirl55 Group Title
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    Ok so 4/5x < 2

    • one year ago
  4. RoamingBlue Group Title
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    actually, doing it that way is going to make it more complicated than it needs to be ... one moment

    • one year ago
  5. californiagirl55 Group Title
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    ok :)

    • one year ago
  6. RoamingBlue Group Title
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    actually, that ended up being the quickest way ... but subtracting from both sides leaves you with 4/5x < -8

    • one year ago
  7. RoamingBlue Group Title
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    because -3 -5 = -8

    • one year ago
  8. californiagirl55 Group Title
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    ;P I always get mixed up with that even though I've gone over it a million times

    • one year ago
  9. RoamingBlue Group Title
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    ok, right now with the equation like it is (4/5x < -8) ... you know "one" of the answers is zero because, well just because ... I forget why I just know it's true so just trust me and someone else who's taken math in the past decade will chime in in a bit to tell you

    • one year ago
  10. californiagirl55 Group Title
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    ok so what should you do next?

    • one year ago
  11. RoamingBlue Group Title
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    But, because they're tricky there's another answer too!

    • one year ago
  12. RoamingBlue Group Title
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    next, multiply both sides by 5x to get that 5x out of the denominator

    • one year ago
  13. californiagirl55 Group Title
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    ok so it would be 4x < -40 right

    • one year ago
  14. RoamingBlue Group Title
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    4 = -40x

    • one year ago
  15. jiteshmeghwal9 Group Title
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    \[4 < -3(5x+5)\]

    • one year ago
  16. RoamingBlue Group Title
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    because \[\frac{ 4(5x) }{ 5x } = 4\] and \[-8 (5x )= -40x\]

    • one year ago
  17. qpHalcy0n Group Title
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    It's important to note, if this is (4/5)x + 5 < -3 or 4/(5x) + 5 < -3 These are not the same.

    • one year ago
  18. jiteshmeghwal9 Group Title
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    \[4<-15x-15\]

    • one year ago
  19. jiteshmeghwal9 Group Title
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    4+15<-15x

    • one year ago
  20. RoamingBlue Group Title
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    @californiagirl55 my last equation should have had 4 < -40x (with < not =)

    • one year ago
  21. jiteshmeghwal9 Group Title
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    19<-15x

    • one year ago
  22. jiteshmeghwal9 Group Title
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    19/-15<x

    • one year ago
  23. RoamingBlue Group Title
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    @qpHalcy0n has said the smartest thing in here thusfar ... I've been solving it as if the equation was \[\frac{ 4 }{ 5x } + 5 < 3\] And, @jiteshmeghwal9 is obviously answering it as if the question was \[\frac{ 4 }{5x + 5 } < 3\] which are completely different things

    • one year ago
  24. RoamingBlue Group Title
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    grrr except I left off the negatives on the threes

    • one year ago
  25. jiteshmeghwal9 Group Title
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    so what is the right question @RoamingBlue ??????/

    • one year ago
  26. RoamingBlue Group Title
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    I have no idea *grins* wasn't my question to start with :D

    • one year ago
  27. RoamingBlue Group Title
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    But if you solve it going down the path I was on you end up with 4 < -40x then 4/-40 < x or -1/10 < x < 0 as the final solution

    • one year ago
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