The image displays a question asking whether the figure is convex or not convex. The figure in question appears to resemble an "hourglass" or "bow-tie" shape, which includes inwardly curving sides.

Convexity Concept:

A convex shape is one where, for any two points inside the shape, the line segment connecting them lies entirely within the shape. If there are any points where this condition fails, the shape is considered non-convex.

Analysis:

In the given figure, it has inward indentations. This means that if you pick two points inside the shape near these indentations, the line connecting them will pass outside the shape. Therefore, the figure is not convex.

Conclusion:

The correct answer is "not convex."

Would you like further details or have any other questions? Here are 5 related questions:

1. What are the key differences between convex and concave shapes?
2. How can we mathematically prove a shape is non-convex?
3. Can a shape be both convex and concave at the same time?
4. How do convex shapes apply to real-world problems like optimization?
5. What is the significance of convexity in computer graphics or geometry?

Tip: To quickly check if a polygon is convex, try drawing all diagonals between its vertices. If all lie inside the shape, it is convex.