The third is all points on the curve y = x 2; The fourth says that y = x 2 is a subset of it.
The first meaning is that its subset is the value of x, that is, {- 1,-197, ... 1, 2, 3, ...} X can take any number.
The second means that its subset is the value of y, that is, {0, 1, 2, ...) Because y = x 2 and x 2 is greater than or equal to 0, y must also be greater than or equal to 0.
The third means that its subset is all points on the curve, namely {(0,0), (1, 1), (2,4) ...}
The fourth is that this equation is a subset of this set, that's all.