Chapter 5 - Solving Systems of Linear Equations - 5.6 - Graphing Linear Inequalities in Two Variables - Exercises - Page 271: 5

$(-9,2)$ is not a solution of the inequality.

The given inequality is $\Rightarrow x+3y\geq -2$ Substitute $-9$ for $x$ and $2$ for $y$. $\Rightarrow -9+3(2)\geq -2$ Simplify. $\Rightarrow -9+6\geq -2$ $\Rightarrow -3\geq -2$ False. Hence, $(-9,2)$ is not a solution of the inequality.