Chapter 5 - Solving Systems of Linear Equations - 5.6 - Graphing Linear Inequalities in Two Variables - Exercises - Page 271: 8

$(-1,-1)$ is a solution of the inequality.

The given inequality is $\Rightarrow 3x-5y\geq 2$ Substitute $-1$ for $x$ and $-1$ for $y$. $\Rightarrow 3(-1)-5(-1)\geq 2$ Simplify. $\Rightarrow -3+5\geq 2$ $\Rightarrow 2\geq 2$ True. Hence, $(-1,-1)$ is a solution of the inequality.