5. how does the author support the claim that it was a"hard fight" for women to win their right to vote?

The author supports the claim that it was a "hard fight" to win their right to vote because they weren't considered equal workers to the men workers.

Explanation:

It was considered that women's duties were to take care of the household and to raise children, so they did not have the right to vote and to hold political office.  However, women also knew who would be the best choice for society, so they needed the right to vote because they also had good judgment about society and politic situation.