2. \( y \geq-3 x+7 \)

This inequality describes a half-plane in the coordinate system. The line \( y = -3x + 7 \) represents the boundary, and since it's a "greater than or equal to" inequality, the area above this line, including the line itself, is where the solution lies. If you were to graph it, you’d paint the region where y-values are greater than or equal to those on the line—think of it as hanging out above a slanted slide! To solve problems involving inequalities like this, remember not to flip the inequality sign unless you multiply or divide by a negative number. It’s a common mistake to overlook this detail, which can lead you to the wrong side of the graph! Always check your solution by substituting values from your shaded region back into the original inequality to ensure they hold true.