Treat this as if the inequality sign was the same thing as an equal sign. Most of the equality rules apply to inequalities (with a few exceptions)
[tex]10>\dfrac{x}{2}+4[/tex]
Subtract both sides by 4
[tex]10-4>\dfrac{x}{2}+4-4[/tex]
[tex]6>\dfrac{x}{2}[/tex]
Multiply both sides by 2
[tex]2\times6>\dfrac{x}{2}\times2[/tex]
[tex]12>x[/tex]
We want the unknown variable on the left side (because it looks nicer)
[tex]x<12[/tex]
