Final answer:
It is false that Alexander the Great only spared those who agreed to worship Greek gods and goddesses; he was known for respecting the religions and cultures of conquered peoples, as shown in Egypt and Persia.
Step-by-step explanation:
False - Alexander the Great did not enforce the worship of Greek gods and goddesses on the people he conquered. This can be observed in his attitude towards the Egyptians, where he paid respects to the Egyptian gods and was welcomed as a liberator from Persian rule. Alexander was noted for offering alliances and concessions to Persian subjects who surrendered, and in many cases, he honored those who had fought against him with lands and positions. He created a hybrid Greco-Egyptian culture in Egypt, maintaining existing political and religious institutions while also introducing Greek elements. Thus, Alexander’s approach to conquering regions involved more than just military might; it also included a level of respect for existing customs and religions, as long as people submitted to his rule.