Consider the following sets.U = {ordered pairs on a coordinate plane}A = {ordered pair solutions to y = x}B = {ordered pair solutions to y = 2x}Which ordered pair satisfies A ∩ B?

A point in A ∩ B must satisfy both equations, y = x and y = 2x. Setting their right sides equal gives x = 2x, so x = 0 and therefore y = 0. The ordered pair (0, 0) satisfies both equations, so the correct choice is (0, 0).

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