Question 334100
Graph the inequality on a plane. 
5x+6y<30
---
Graph the boundary as a dashed line:
y = (-5/6)x+5
{{{graph(400,300,-10,10,-10,10,(-5/6)x+5)}}}
-----------------
Check a point that is not on the boundary to
see where the solutions for the inequality lie.
Check Point: (0,0)
5*0+6*0< 30
True; so the half-plane containing (0,0) is the
graph of the inequality.
{{{graph(400,300,-10,10,-10,10,y < (-5/6)x+5)}}}
===========================
Cheers,
Stan H.