Final answer:
The Mollweide map projection is an equal-area projection that shows the entire surface of the Earth but with significant distortion near the edges of the map.
Step-by-step explanation:
The statement is True.
The Mollweide map projection is indeed an equal-area projection that shows the entire surface of the Earth. However, it does have significant distortion near the edges of the map. This means that areas near the poles appear stretched and elongated compared to their actual size.
An example of this distortion can be seen in the comparison of country sizes between the Mercator projection and actual country sizes. The Mercator projection distorts the size of continents and distances as latitude increases, making countries near the poles appear larger than they actually are.