The system of inequalities would be represented by:
[tex]3x-2>-\frac{1}{2}x+5[/tex]We can simplify by using inverse operations:
[tex]\begin{gathered} 3x>-\frac{1}{2}x+5+2 \\ 3x>-\frac{1}{2}x+7 \\ 3x+\frac{1}{2}x>7 \\ \frac{7}{2}x>7 \\ 7x>7\cdot2 \\ x>\frac{14}{7} \\ x>2 \end{gathered}[/tex]Then, with if we graph the system of inequalities, we get:
The ordered pair that is not in the solution set would be(4,3)
