Determine whether the given set is open, connected, and simply connected. For example, if it is open, connected, but not simply connected, type "YYN" standing for "Yes, Yes, No."

A. $\left\lbrace \left( x, y \right) | x > 1, y < 2 \right\rbrace$

B. $\left\lbrace \left( x, y \right) | 2x^{2} + y^{2} < 1 \right\rbrace$

C. $\left\lbrace \left( x, y \right) | x^{2} - y^{2} < 1 \right\rbrace$

D. $\left\lbrace \left( x, y \right) | x^{2} - y^{2} > 1 \right\rbrace$

E. $\left\lbrace \left( x, y \right) | 1 < x^{2} + y^{2} < 4 \right\rbrace$