≤, ≥ - solid line
<, > - dotted line
<, ≤ - shaded above the line
>, ≥ - shaded below the line
We have the solid lines and shaded below the line with negative slope and shaded above the line with positive slope.
[tex]y=3x-2\to m=3 > 0\\\\x+2y=4\to2y=-x+4\to y=-\dfrac{1}{2}x+2\to m=-\dfrac{1}{2} < 0[/tex]
Answer:
[tex]\left\{\begin{array}{ccc}y\geq3x-2\\x+2y\leq4\end{array}\right[/tex]
