Question

graph the system of inequalities.
x < y
y > -2
note: after you make your two linear inequalities, use the red and blue buttons in the bottom right of the graph to ensure you correctly have a solid or dashed line. after you are satisfied with the lines, place a green dot representing the correct shaded region on the graph by clicking the graph.

Explanation:

Step1: Graph boundary for $x

First, identify the boundary line $y=x$. Since the inequality is $<$ (strict), use a dashed line. This line passes through points like $(0,0)$, $(1,1)$, $(-1,-1)$.

Step2: Shade region for $x

The inequality $xx$, so shade the region above the dashed line $y=x$.

Step3: Graph boundary for $y>-2$

Identify the boundary line $y=-2$, a horizontal line. Since the inequality is $>$ (strict), use a dashed line at $y=-2$.

Step4: Shade region for $y>-2$

Shade the region above the dashed line $y=-2$.

Step5: Find overlapping region

The solution is the area that is shaded in both regions: above $y=-2$ and above $y=x$. A sample point in this region is $(0,1)$ (it satisfies both $0<1$ and $1>-2$). Place the green dot in this overlapping area.

Answer:

1. Draw a dashed line for $y=x$ (passing through $(0,0)$, $(1,1)$).
2. Draw a dashed horizontal line for $y=-2$.
3. Shade (and place the green dot in) the region that is above both dashed lines (e.g., at the point $(0,1)$).