This is a homework question from a precalculus class that I'm a TA for.
Graph on a real line all points $x$ such that \begin{equation}\tag{$\star$} (4x -2 \leq 6 \;\text{ and }\; 3-x \leq 7) \;\;\text{ or }\;\; (3x > 18 \;\text{ and }\; 2x-9 \geq 11)\,. \end{equation}
Enough students were struggling with it, especially with how to mathematically interpret "and" and "or", that I wanted to write up a thorough solution to this exercise for my class, and figured I'd post it online to help anyone else who may wander across it.