Given the set P = {(x, y) | y = k}, q = {(x, y) | y = ax + 1}, and P ∩ q = ∞, then the value range of K is () A. （-∞，1）B. （-∞，1]C. （1，+∞）D. （-∞，+∞） | Math enthusiast | Mathematical art

Given the set P = {(x, y) | y = k}, q = {(x, y) | y = ax + 1}, and P ∩ q = ∞, then the value range of K is () A. （-∞，1）B. （-∞，1]C. （1，+∞）D. （-∞，+∞）

The set P represents all the points on the straight line y = k, and the set Q represents all the points on the curve y = ax + 1. From P ∩ q = ∞, we can see that there is no intersection point between y = K and y = ax + 1. Combined with the image ① and ②, we can see that K ≤ 1. So we choose B

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