Step 1
Given;
Required; To find the system of inequalities that will be the solution to the graph.
Step 2
Test the options
[tex]Option\text{ B yields graph below}[/tex]
Points used include;
[tex]For\text{ y>}\frac{1}{3}x+4;\text{ \lparen0,4\rparen,\lparen4.2,5.4\rparen,\lparen-12,0\rparen}[/tex][tex]For\text{ y>2x-3; \lparen4.2,5.4\rparen,\lparen1.5,0\rparen,\lparen0,-3\rparen}[/tex]
The line is broken since equality is not involved if the sign > or equal to was used the line will be continuous.
The answer thus is;
[tex]Option\text{ B}[/tex]
