Solve the system of inequalities by graphing.
y≤4
y<2x+3
Select a line to change it between solid and dotted. Select a region to shade it.
To graph the system of inequalities, we can start by graphing the lines.
For the inequality y ≤ 4, we can draw a horizontal line at y = 4. Since the inequality is less than or equal to, the line will be solid.
For the inequality y < 2x + 3, we can start by graphing the line y = 2x + 3. This line has a y-intercept of 3 and a slope of 2. Since the inequality is less than, the line will be dotted.
Now, let's shade the region that satisfies both inequalities. Since y ≤ 4, the shaded region will be below or on the line y = 4. Since y < 2x + 3, the shaded region will be below the line y = 2x + 3.
Here is a graph of the system of inequalities:
Graph:
(https://www.desmos.com/calculator/qk9dhevubp)
The shaded region below the line y = 4 and below the dotted line y = 2x + 3 represents the solution to the system of inequalities.