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import matplotlib.pyplot as plt import numpy as np # Set up the plot fig, ax = plt.subplots() # Define the x range for the boundary line x = np.linspace(-10, 10, 400) # Define the y boundary line (y = 5) y_boundary = 5 # Plot the boundary line (y = 5) plt.plot(x, y_boundary * np.ones_like(x), 'r--', label='y = 5') # Shade the region y < 5 plt.fill_between(x, -10, y_boundary, where=(x >= -10), color='red', alpha=0.3) # Set the plot limits plt.xlim(-10, 10) plt.ylim(-10, 10) # Adding labels and title plt.xlabel('x') plt.ylabel('y') plt.title('Graph of the Inequality y < 5') # Add a legend plt.legend() # Show the plot plt.grid(True) plt.axhline(0, color='black',linewidth=0.5) plt.axvline(0, color='black',linewidth=0.5) plt.show()
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