Given,
The graph of the inequalities is,
Required
The equation of the inequalities.
Here,
The y intercept of the red line is (0,3).
The y intercept of the grey line is(0,-2).
The slope of the red line is,
[tex]Slope=\frac{4-3}{3-0}=\frac{1}{3}[/tex]The slope of the grey line is,
[tex]\begin{gathered} Slope=\frac{4-(-2)}{2-0} \\ =3 \end{gathered}[/tex]So, the inequalities of the graph are
[tex]\begin{gathered} y\ge\frac{1}{3}x+3 \\ 3x-y>2 \end{gathered}[/tex]Hence, option A is correct.
