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

- anonymous

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

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- anonymous

I haven't done many problems like this before, what part should I do first?

- anonymous

start by subtracting 5 from both sides so that you get the x by itself

- anonymous

Ok so 4/5x < 2

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## More answers

- anonymous

actually, doing it that way is going to make it more complicated than it needs to be ... one moment

- anonymous

ok :)

- anonymous

actually, that ended up being the quickest way ... but subtracting from both sides leaves you with
4/5x < -8

- anonymous

because -3 -5 = -8

- anonymous

;P I always get mixed up with that even though I've gone over it a million times

- 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

ok so what should you do next?

- anonymous

But, because they're tricky there's another answer too!

- anonymous

next, multiply both sides by 5x to get that 5x out of the denominator

- anonymous

ok so it would be 4x < -40 right

- anonymous

4 = -40x

- jiteshmeghwal9

\[4 < -3(5x+5)\]

- anonymous

because
\[\frac{ 4(5x) }{ 5x } = 4\]
and
\[-8 (5x )= -40x\]

- 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

\[4<-15x-15\]

- jiteshmeghwal9

4+15<-15x

- anonymous

@californiagirl55 my last equation should have had 4 < -40x (with < not =)

- jiteshmeghwal9

19<-15x

- jiteshmeghwal9

19/-15

- 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

grrr except I left off the negatives on the threes

- jiteshmeghwal9

so what is the right question @RoamingBlue ??????/

- anonymous

I have no idea *grins* wasn't my question to start with :D

- 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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