Question: a) Let a < b and c < d be real numbers. Sketch a graph of the rectangle [a, b] [c, d] := {(x,

a) Let a < b and c < d be real numbers. Sketch a graph of the rectangle
[a, b] × [c, d] := {(x, y) : x ∈ [a, b], y ∈ [c, d]},
and decide whether this set is connected. Explain your answers,
b) Sketch a graph of set
β1(-2, 0) U β1(2, 0) U {(x, 0) : -1 < x < 1},
and decide whether this set is connected. Explain your answers.

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