The inequality that represents the graph in the box is
Given :
The graph of the linear inequality
Lets pick two points from the graph to frame the linear equation
Slope intercept form of the equation is
Where m is the slope and b is the y intercept
y intercept is (0,6) from the graph
so b=6
Now we find out slope m using formula
Pick two points (0,6) and (2,0)
m=-3
So the equation is
Now we check the inequality sign by testing any point on shaded area
lets pick (4,0)
lets plug in 4 for x and 0 for y
The inequality for the given graph is
we cannot use >= sign because we have dotted lines
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