The solution of inequality $6y+5x<30$ is the half-plane.

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The correct solution is Option A.

Here is the graphical representation for the inequality $6y + 5x < 30$:

Graph 1

To determine the half-plane represented by the inequality, we analyze the shaded region:

Graph 2

This graph shows the area where $6y + 5x$ is less than 30, which is the half-plane below the line $6y + 5x = 30$.

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