According to the philosophy of laissez-faire, what should a government do about the growing inequality between the rich and poor caused by the industrial revolution?

Leave the market on its own, Government must not interfere.

Explanation:

Laissez-Faire is the theory that argues that the economy is strongest when the government does not protects individual rights, it also restricts government intervention in the economy.

It is a french  word meaning "let do", in economy it means that market should be left alone to do its own things and laws of demand and supply will direct the production of goods and services.

Demand stands for the purchases by the business and consumers while supply includes the capital, resources and labour.

powers  are  denied  to the  national governmentin three distinct ways: some  powers, such as the  power  to levy duties on exports or prohibit the freedom of religion, speech, press, or assembly, are expressly  denied  to the  national government  in the  constitution.

wait history, who want to talk about history, boring.