Answer
See below:
Work Step by Step
Consider the provided condition. It provides an inequality as,
$y\ge -3x+2$
Now, calculate the x intercept by substituting y as 0 and converting the greater than symbol to equal to symbol in the above equation.
$\begin{align}
& \left( 0 \right)=-3x+2 \\
& x=\frac{-2}{-3} \\
& =0.666
\end{align}$
Here, the above substitution gives the coordinate as $\left( 0.666,0 \right)$.
Now, calculate the y intercept by substituting x as 0 and converting the greater than symbol to equal to symbol in the above equation.
$\begin{align}
& y=-3\left( 0 \right)+2 \\
& =2
\end{align}$
Here, the above substitution gives the coordinate as$\left( 0,2 \right)$.
The above inequality can be graphed as shown below:
The above graph shows the solution region that lies on the right side of the line drawn by the inequality equation.
