Question

one lasting effect of the age of revolutions was that liberals were successful in all nations and remain an active political force. monarchs were inspired to be more democratic and granted rights to citizens. some monarchs were successfully overturned, allowing for the growth of democracy. no monarchs were overturned in europe and many nations experienced a rain of tyranny.

Explanation:

The Age of Revolutions (such as the American and French Revolutions) led to the overthrow of some monarchies. For example, the French Revolution overthrew the French monarchy. This created opportunities for the growth of democratic principles like representative government, as people sought more say in governance after removing autocratic monarchs.
Liberals were not successful in all nations (e.g., some conservative forces still held strong in parts of Europe). Monarchs were often resistant to being more democratic (many tried to restore old - order after revolutions, like the Congress of Vienna's attempts). And it is false that no monarchs were overturned in Europe (the French monarchy is a prime example of being overturned).

Answer:

some monarchs were successfully overturned, allowing for the growth of democracy.