Question

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

Answer 1

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

Answer 2

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

Answer 3

Ok so 4/5x < 2

Answer 4

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

Answer 5

ok :)

Answer 6

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

Answer 7

because -3 -5 = -8

Answer 8

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

Answer 9

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

Answer 10

ok so what should you do next?

Answer 11

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

Answer 12

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

Answer 13

ok so it would be 4x < -40 right

Answer 14

4 = -40x

Answer 15

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

Answer 16

because
\[\frac{ 4(5x) }{ 5x } = 4\]

and
\[-8 (5x )= -40x\]

Answer 17

It's important to note, if this is (4/5)x + 5 < -3
or
4/(5x) + 5 < -3

These are not the same.

Answer 18

\[4<-15x-15\]

Answer 19

4+15<-15x

Answer 20

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

Answer 21

19<-15x

Answer 22

19/-15<x

Answer 23

@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

Answer 24

grrr except I left off the negatives on the threes

Answer 25

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

Answer 26

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

Answer 27

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