The map provides evidence to support which conclusion about britain during the industrial revolution

I don't see a map of Britain during the Industrial Revolution but I can imagine that it would show numerous coal mines (coal mining really took off during the Industrial Revolution both for heating and especially for steel making), textile factories, canals to transport coal, steel making plants etc. 

Social darwinism refers to the the theory that people who succeed in our economic system will one day out compete those who fail. one day the rich will out succeed the poor so we'll that there will eventually be no more poor