Answer: The correct inequality that matches the graph is 6x + y < 3.
This inequality can be graphed by plotting the points (0,3) and (1,9) as the boundary of the solution set, and shading the area above the line. The graph will be a line with a negative slope that pass through the points (0,3) and (1,9) and the shaded area will be above the line, which match the graph you have described.
We can check this by plugging the points (0,3) and (1,9) into the inequality to see if they satisfy it:
6(0) + 3 < 3 => 3 < 3 which is true
6(1) + 9 < 3 => 6 + 9 < 3 which is false
This confirms that the inequality 6x + y < 3 matches the graph.
Explanation: