The inequality $\displaystyle \displaystyle y<x$ means "all the points for which the $\displaystyle \displaystyle y$ value is less than the $\displaystyle \displaystyle x$ value.
The easiest way to determine these points (which together form a half-plane) is to find the points where $\displaystyle \displaystyle y = x$, in other words, to draw the line $\displaystyle \displaystyle y = x$. Of course, since your inequality uses $\displaystyle \displaystyle <$ and not $\displaystyle \displaystyle \leq$, that means you can't include those points, which is why you use a dotted line.
Once you have this line, you shade everything that is not in the required region, i.e. everything above the line (since you want all the points that are below it, i.e. where all the $\displaystyle \displaystyle y$ values are less than the $\displaystyle \displaystyle x$ values).
Hope that helped...
Yes, you've got the line y=x.
Remember your other inequalities are < or >,
so the lines themselves are not part of the inequalities in all 3 cases.
y<x below that dotted line.
The point (3,2) is in that region. 2<3
The point (1,0) is in the region. 0<1
and so on.