Solve & graph: 3x+5

Question

Solve & graph: 3x+5<6x-1

Ok, so the answer is 2. I got that. My problem is that you have to solve it a certain way in order to graph it properly, but I’m not sure which way I should solve it. 

I solved it this way: 
3x+5<6x-1
-3x    
5<3x-1
+1
6<3x
/3
2<x

For some reason, my teacher subtracted the 6x first, and I have no idea why. The answer will still be 2, but when you start by subtracting the 6x the end result is -6/-3=2, and as a rule you have to flip the (>) or (<) sign if you divide negatives. So while the numerical answer remains the same, the graphing gets messed up.

anonymous · Answer

Anyway, I just want to know if there’s some kind of rule for solving problems like this. I figured because 3x is the smaller number you’d start by subtracting that and adding it to 6x (that, and I try to prevent getting negatives if I can), but apparently not. =/

Thanks in advance.

anonymous · Answer

If you subtract the 6x first the answer would be -2, not 2

jamierox4ev3r · Answer

3x+5<6x-1
-3x    -3x
---------
5<3x-1
+1    +1
--------
6<3x
/3 /3
-----
x=2

jamierox4ev3r · Answer

i men x>2