A main difference between the ancient Greek and Roman governments was that in Rome all men could vote while in Greece only the wealthy men had this privilege True or False?

It depends. Greece was not a unified state. It had two kingdoms and many independent city states. Their constitutional arrangements varied and these arrangements could change over time. In most states vote was restricted to the aristocracy of the wealthy more in general. However, Greece was the birthplace of the concept of democracy. The most famous case of Greek democracy was Athenian democracy (c. 508 BC to 332 BC). the cities of Corinth. Megara and Syracuse also had democratic periods. In these democratic regimes all male free citizens could vote.