Given the set a = {x | x is less than or equal to 2, X belongs to R}, B = {x | x is greater than a} if AUB = R, then the value range of A

Given the set a = {x | x is less than or equal to 2, X belongs to R}, B = {x | x is greater than a} if AUB = R, then the value range of A

Set a = {x | XA}, AUB = R,
∴a

Let a = {(x, y) | y ≥ | X-2 |, X ≥ 0}, B = {(x, y) | y ≤ - x + B}, a ∩ B ≠ B, the value range of B is______ ．

The set a = {(x, y) | y ≥ | X-2 |, X ≥ 0} denotes the shadow part of the graph, the set B = {(x, y) | y ≤ - x + B} denotes the following of the straight line y = - x + B, ∩ B ≠∞, ∩ from the image, we can see that the value range of B is [2, + ∞). Answer: [2, + ∞)