Sketch the region in the plane defined by each of the following equations or inequalities. (a) max{x,

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Sketch the region in the plane defined by each of the following equations or inequalities.

(a) max{x, 2y} = 1

(b) –1 ≤ max {x, 2y} ≤ 1

(c) max{x, y2} = 1

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