Answer
see graph
Work Step by Step
Using the intercepts and the test point $(0,0),$ the red graph is the graph of $
y\le3x-\dfrac{1}{2}
.$
Using the intercepts and the test point $(0,0),$ the blue graph is the graph of $
3x+4y\ge6
.$
The solution set is the area common to all graphs (darkest shade).