Question 405570
1.) Graph 2x + y < 4
Solve for "y":
y < -2x+4
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You NEVER graph an inequality directly.
You graph its boundary which is always an equality.
Graph y = -2x+4 as a dashed line because equality
is not part of your problem.
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Plot: (0,4) and (1,2) and draw a dashed line thru them
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Since you want y LESS than the boundary, shade 
the half-plane BELOW the boundary to get the graph
of the inequality:
{{{graph(400,300,-10,10,-10,10,y < -2x+4)}}}
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2.) Graph 4x - 3y >= 12
Solve for "y":
3y <= 4x-12
y <= (4x-12)/3
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Now graph the boundary as a solid
line because it is part of the problem
Plot (0,-4)(2,-4/3)
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Shade the half-plane BELOW the boundary
because you want y LESS than the boundary.
The line and the shaded area are the graph.
{{{graph(400,300,-10,10,-10,10,(4x-12)/3,y<(4x-12)/3)}}}
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Cheers,
Stan H.