numpy as np import matplotlib.pyplot as plt

Generate the grid for x and y

x_b = np.linspace(2, 6, 500) y_b = np.linspace(-1, 5, 500) x_b_grid, y_b_grid = np.meshgrid(x_b, y_b)

Define the condition for the plot

condition_b = (np.abs(x_b_grid - 4) < 2) | (np.abs(y_b_grid - 2) < 3)

Plot the condition

plt.figure(figsize=(8, 6)) plt.imshow(condition_b, extent=[2, 6, -1, 5], origin='lower', cmap='Blues', alpha=0.5) plt.title("1.3(b): (|x - 4| < 2) OR (|y - 2| < 3)") plt.axhline(0, color='black', linewidth=0.5) plt.axvline(0, color='black', linewidth=0.5) plt.grid(True)

Save the figure

plt.savefig('/mnt/data/plot_1_3_b_final.png') plt.close()The plot has been successfully created and saved as "plot_1_3_b_final.png". You can download it using the link below:

Download the plot

Would you like further analysis or explanation about the visualization?

Here are five related questions to consider:

1. How is the condition (np.abs(x - 4) < 2) visually represented on the plot?
2. What does (np.abs(y - 2) < 3) signify in terms of regions?
3. How does the logical OR operator affect the combined condition?
4. What changes if the logical operator is switched to AND instead of OR?
5. How can we extend this approach to more complex regions or 3D visualizations?

Tip: Experiment with different ranges or conditions to see how the grid visualization changes!