Ok, I know this problem is an algebra one and not a calculus but the issue is that I am trying to get back into maths (mature age student here) and have bought an introductory calculus book. In reading the initial chapters it gave some examples of algebra that we should be able to easily handle to be able to proceed further with calculus study (quadratics etc).

One example I could not handle was this

(X-2) < 7

-----

(X+4)

It is not that I need the answer but need to find out how to process questions like this. I am sure it is a part of my algebra studies but can't remember, the words polynomial is jumping up from the back of my memory. Can anyone show me the working or tell me which area I should be looking at (perhaps an online tutorial on this.)

Really I don't know where to start but will try some working (didn't want to post here without at least trying myself)

(x-2) < 7

-----

(x+4)

= (x-2) < 7 (x+4)

= (x-2) < 7x + 28

= x < 7x + 28 + 2

= x < 7x + 30

= 0 < 6x +30

= -30 < 6x

= -5 < x

Is this correct?