## californiagirl55 Group Title Please help: 4/5x + 5 < -3 one year ago one year ago

1. californiagirl55 Group Title

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

2. RoamingBlue Group Title

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

3. californiagirl55 Group Title

Ok so 4/5x < 2

4. RoamingBlue Group Title

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

5. californiagirl55 Group Title

ok :)

6. RoamingBlue Group Title

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

7. RoamingBlue Group Title

because -3 -5 = -8

8. californiagirl55 Group Title

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

9. RoamingBlue Group Title

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

10. californiagirl55 Group Title

ok so what should you do next?

11. RoamingBlue Group Title

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

12. RoamingBlue Group Title

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

13. californiagirl55 Group Title

ok so it would be 4x < -40 right

14. RoamingBlue Group Title

4 = -40x

15. jiteshmeghwal9 Group Title

$4 < -3(5x+5)$

16. RoamingBlue Group Title

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

17. qpHalcy0n Group Title

It's important to note, if this is (4/5)x + 5 < -3 or 4/(5x) + 5 < -3 These are not the same.

18. jiteshmeghwal9 Group Title

$4<-15x-15$

19. jiteshmeghwal9 Group Title

4+15<-15x

20. RoamingBlue Group Title

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

21. jiteshmeghwal9 Group Title

19<-15x

22. jiteshmeghwal9 Group Title

19/-15<x

23. RoamingBlue Group Title

@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

24. RoamingBlue Group Title

grrr except I left off the negatives on the threes

25. jiteshmeghwal9 Group Title

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

26. RoamingBlue Group Title

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

27. RoamingBlue Group Title

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