Eliminating poverty is not a good that the private market can provide. No single individual can solve the problem of poverty and those who do not donate to charity can free-ride on the generosity of others. If we all prefer to live in a society without poverty, taxing the wealthy to raise the living standards of the poor may be able to make everyone better off.

True

Explanation:

In a bit to fight poverty that ravages different areas, the government do come up with unique progammes that arev specifically designed to help the poor. Taxes are gotten from more financially prosperous families in order to finance these programmes and these and many more, have prompted different economists to disagree  on the role the government should play to fight poverty.  

The debate by these economists forms the question being asked here on the elimination of poverty not being a good the private market can provide.  The answer is true.

It is also good for one to know that the poor would certainly be better off because they would enjoy a much improved standard of living while those contributing to the taxes on their own would enjoy living in a society with less poverty.