Solve the system of inequalities by graphing.
y≤–7
x>–6
Select a line to change it between solid and dotted. Select a region to shade it.
To graph the system of inequalities y ≤ -7 and x > -6, we start by graphing the lines y = -7 and x = -6.
First, we graph y = -7, which is a horizontal line passing through y = -7. Since y is less than or equal to -7, we use a solid line to indicate that the points on the line itself are included in the solution.
Next, we graph x = -6, which is a vertical line passing through x = -6. Since x is greater than -6, we use a dotted line to indicate that the points on the line itself are not included in the solution.
The region that satisfies both inequalities is the area where the shaded region below the line y = -7 intersects the area to the right of the line x = -6.