Solve the system of inequalities by graphing.
x>
–
4
y<2x+4
Select a line to change it between solid and dotted. Select a region to shade it.
The first inequality x > -4 represents a vertical line at x = -4. Since x is greater than -4, the line should be dotted.
The second inequality y < 2x + 4 can be graphed by finding the y-intercept at 4 and using the slope of 2 to find another point on the line. This line should be dotted as well since y is less than 2x + 4.
Shade the region below the second line to represent the solution to the system of inequalities.
The shaded region should be the area below the dotted line y < 2x + 4.
Final graph:
Graph of x > -4 as a dotted vertical line at x = -4.
Graph of y < 2x + 4 as a dotted line with a y-intercept at 4.
Shaded region below the line y < 2x + 4.