\begin{tabular}{ll}\hline Match the graph & a. \( y<-3 \) \\ with its inequality. & b. \( x \geq 2 \) \\ & c. \( 5 x+10 y>0 \) \\ d. \( y9 \\ \\ \\ \\ \\ \\ \\ \\ \text { g. } 3 y-4 x \geq 12 \\ \text { h. } y \leq-2 x-4 \\ \text { i. } 8 x-6 y<10 \\ \text { j. } 3 x-1 \geq y\end{array} \)\end{tabular}

To match the inequalities with their graphs, let's start with a brief overview of what each inequality represents. The first graph, representing \( y < -3 \), would be a horizontal line where all the points below this line on the y-axis are shaded. On the other hand, \( x \geq 2 \) will showcase a vertical line at \( x = 2 \) with the right side shaded. Now, let's hop to the math fun! If we take a look at some unique relationships in inequality! For example, \( 5x + 10y > 0 \), when rearranged, reveals the boundary line that shows where it's not just a straight line but a whole area! So, making inequalities a versatile tool! And for some explorational curiosity, \( 3y - 4x \geq 12 \) tells an intriguing story as we plot it on a grid! Not only does it define an area, but it also gives insight on relationships between variables with a thrilling slope that hints at growth or decline. So, dive into those graphs! It’s not just math; it’s the entire narrative of equations coming to life!