Question

Which graph shows the solution to the system of linear inequalities y> 2/3 x + 3Y< - 1/3x + 2

Answer 1

The system of linear inequalities is:

$\begin{gathered} y\text{ > }\frac{2}{3}x\text{ + 3} \\ \text{y < -}\frac{1}{3}x\text{ + 2} \end{gathered}$

The

$\begin{gathered} \text{The red portion represents y > }\frac{2}{3}x\text{ + 3} \\ \text{The blue portion represents y < -}\frac{1}{3}x\text{ + 2} \end{gathered}$

The solution to the system of the inequalities is the area where the shadings of the two inequalities overlap