graph the linear inequality on a plane x + y ≤ 5
To graph the linear inequality x + y ≤ 5, we can start by graphing the boundary line x + y = 5, which is the line that represents the equality.
1. Plotting the points:
To begin, we plot the points (0, 5) and (5, 0) on the coordinate plane. These points satisfy the equation x + y = 5.
2. Drawing the line:
Next, we draw a straight line passing through the points (0, 5) and (5, 0). This line represents the equation x + y = 5.
3. Shading the region:
Since the inequality is x + y ≤ 5, the shaded region will be below or on the boundary line. Therefore, we shade the region below or on the line.
The resulting graph should be a line passing through the points (0, 5) and (5, 0), with the region below or on the line shaded.