You can't eliminate inequality but you can reduce it. We can't eliminate disease but there is still medicine.

And this is patently false:

> no effort so far has had any affect on it

FDR and the New Deal reduced inequality in the US and most Americans thought that was a good thing. Stalin and the communists reduced inequality in the Soviet Union. Their methods were less well received. But the question isn't whether there was less inequality but whether it was worth it. There are many societies today that take active measures to reduce inequality -- Finland is an obvious example -- and they are generally considered extremely successful.

Why reduce inequality? Because inequality reduces social cohesion, promotes corruption -- it produces people who can buy government policy and action --, reduces democratic control of the government, and the mass of people lifted up by its reduction benefit much more than the few wealthy people suffer who are made poorer.