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Each of the four inequalities given belo...

Each of the four inequalities given below defines a region in the xy plane. One of these four regions does not have the following property. For any two points `(x_1,y_1) and (x_2,y_2)` in the region the point `((x_1+x_2)/2*(y_1+y_2)/2)` is also in the region. The inequality defining this region is`(1) x^2 + 2y^2 ≤ 1 (2)Max {|x| , | y| ≤ 1 (3) x^2 – y^2 ≤ 1 (4) y^2 – x ≤ 0`

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