Question: Determine whether or not the given set is (a) Open, (b) Connected, (c) Simply-connected. {(x, y) |1 < x 2 + y 2 < 4}

Determine whether or not the given set is 

(a) Open,

(b) Connected, 

(c) Simply-connected.

{(x, y) |1 < x2 + y2 < 4}

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