True/False and justify briefly

1, If we could eliminate income inequality everywhere, everyone would have access to the same opportunities to improve their economic status.

2, Even if the Lorenz curves for two countries overlap, we may still be able to compare the two curves and say that one country has more inequality than the other.

3, Since exchange rates don't fully account for differences in cost of living, we can use purchasing power parity (PPP) rates to compare the value of one good (or basket of goods) in country A with the cost of a different good (or different basket of goods) in country B.