You can put this solution on YOUR website! graph this on a plane?
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Solve for "Y":
y < (-5/6)x +6
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Graph the boundary as a dashed line y = (-5/6)x+30
If x=0, y= 30 giving you point (0,30)
If x = 6, y = 25, giving you point (6,25)
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Plot (0,30) and (6.25) and draw a dashed line thru them.
Note: That is the boundary for the solution; it is not the solution.
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Since you want y LESS THAN (-5/6)x+30, shade the half-plane
BELOW the boundary line. That is the graph of the inequality.
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Cheers,
Stan H.