anonymous
  • anonymous
Please help: 4/5x + 5 < -3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I haven't done many problems like this before, what part should I do first?
anonymous
  • anonymous
start by subtracting 5 from both sides so that you get the x by itself
anonymous
  • anonymous
Ok so 4/5x < 2

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anonymous
  • anonymous
actually, doing it that way is going to make it more complicated than it needs to be ... one moment
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
actually, that ended up being the quickest way ... but subtracting from both sides leaves you with 4/5x < -8
anonymous
  • anonymous
because -3 -5 = -8
anonymous
  • anonymous
;P I always get mixed up with that even though I've gone over it a million times
anonymous
  • anonymous
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
anonymous
  • anonymous
ok so what should you do next?
anonymous
  • anonymous
But, because they're tricky there's another answer too!
anonymous
  • anonymous
next, multiply both sides by 5x to get that 5x out of the denominator
anonymous
  • anonymous
ok so it would be 4x < -40 right
anonymous
  • anonymous
4 = -40x
jiteshmeghwal9
  • jiteshmeghwal9
\[4 < -3(5x+5)\]
anonymous
  • anonymous
because \[\frac{ 4(5x) }{ 5x } = 4\] and \[-8 (5x )= -40x\]
anonymous
  • anonymous
It's important to note, if this is (4/5)x + 5 < -3 or 4/(5x) + 5 < -3 These are not the same.
jiteshmeghwal9
  • jiteshmeghwal9
\[4<-15x-15\]
jiteshmeghwal9
  • jiteshmeghwal9
4+15<-15x
anonymous
  • anonymous
@californiagirl55 my last equation should have had 4 < -40x (with < not =)
jiteshmeghwal9
  • jiteshmeghwal9
19<-15x
jiteshmeghwal9
  • jiteshmeghwal9
19/-15
anonymous
  • anonymous
@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
anonymous
  • anonymous
grrr except I left off the negatives on the threes
jiteshmeghwal9
  • jiteshmeghwal9
so what is the right question @RoamingBlue ??????/
anonymous
  • anonymous
I have no idea *grins* wasn't my question to start with :D
anonymous
  • anonymous
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

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