Final answer:
Without the exact locations of Station A and E or a map, the approximate distance between Station E and Station G cannot be calculated using the provided information. The question suggests multiple choice answers, but the problem does not supply enough context to select one conclusively.
Step-by-step explanation:
The question asks for the approximate distance between Station E and Station G when traveling by subway, given that Station G is 4 miles east and 6 miles south of Station A. To find this distance, one could use the Pythagorean theorem if the exact locations of the stations A and E were known, and if we were to assume that the subway routes allow for straight travel between these points. However, without a map or explicit distances between other stations, we cannot calculate it directly. Thus, we must rely on the given options: (a) 10 miles, (b) 8 miles, (c) 5 miles, (d) 2 miles, and determine which is the most logical based on the context provided. Given that Station G is not on the same straight line as Station E and the minimum distance between A and G already exceeds some of the provided options, the exact answer cannot be determined from the given information.