Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
[tex]4x - 12 < 2x - 4[/tex]
Now, shift x terms and integers on each side.
[tex]4x - 2x < - 4 + 12[/tex]
After simplifying, it will get:
[tex]2x < 8[/tex]
Finally, we can solve for x.
[tex]x < 4[/tex]
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.