Question 1011163
<pre>
-3 < w/-2 + 10 + w/4

Can you please show me how to solve this problem?  I get confused as to whether you need to multiply the left
side by -2 (to balance out the w/-2) and 4 (to balance out the w/4).

So, does it end up -3 - 10 < w/-2 + + 10 - 10 + w/4
-13 < w/-2 + w/4 ?
==================
   -3 < w/-2 + 10 + w/4
  {{{- 3 < w/(- 2) + 10 + w/4}}}
- 13 {{{highlight("<")}}}{{{w/(- 2) + w/4}}} ---- Subtracting 10 from both sides
  52 {{{highlight(">")}}} 2w - w ----- Multiplying by LCD, - 4
  52 {{{highlight(">")}}} w, or w {{{highlight("<")}}} 52

So, YES, you will have -3 - 10 < w/-2 + 10 - 10 + w/4 =====> -13 < w/-2 + w/4 (see above), but 
that's NOT what you'll end up with. You have to solve the INEQUALITY, ALL the way, for w!</pre>