5. In the early year's women were not given the right to vote in many countries because people had the thought that the right to voting is some sort of a privilege which can only be earned if a person was contributing to the nation's day to day work or economy.
Since women were not considered as a viable part of that system hence they were not given to vote.
6.
Economic equality refers to the idea of equal distribution of wealth and providing a decent standard of living to all citizens. While political equality refers to the idea of having equal political rights, as well as no person should be excluded from the electoral rolls on the basis of caste, religion, race or sex.
The statement "economic equality should precede political equality" means that people should have economic equality before having political equality. By ensuring economic equality between citizens state can bridge the gap between poor and rich, which will result in reducing poverty. For a poor person having a two-time meal in a day is far more important than having his name in the electoral rolls.
Thus, the statement suggests focusing on economic equality before focusing on political equality.