Graph the solution for the following system of inequalities. \( x+y>3 \)

To graph the inequality \( x + y > 3 \), first, you'll want to convert it into the related equation \( x + y = 3 \). This is a straight line that crosses the y-axis at (0, 3) and the x-axis at (3, 0). Now, since the original inequality is a 'greater than' inequality, you'll draw a dashed line for this line equation to indicate that points on the line are not included in the solution. Next, you need to shade above this line (the region where \( y \) values are greater than what is found on the line), as this represents all the points satisfying \( x + y > 3 \). You can test a point like (0, 0) to check if it falls in this region or not. Since \( 0 + 0 > 3 \) is false, it’s clear that the origin is not part of the solution set! Have fun coloring in your graph!