Solve the inequality $4x - 2 \leq 10$:

$4x - 2 \leq 10$

Add $2$ to both sides:

$4x \leq 12$

Divide by $4$:

$x \leq 3$

The solution set is all real numbers less than or equal to $3$. On a number line, this is shown as a closed dot at $3$ with an arrow pointing to the left.