(Solved): Determine whether the given set is open, connected, and simply connected. For example, if it is op ...

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. {(x, y)|x > 1, y <2} YYY B. {(x, y) |2x² + y² < 1} YYY C. {(x, y) x² - y² <1} YYY D. {(x, y) |x² - y² > 1} NNN E. {(x, y)|1 < x² + y² < 4} NNN