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First find the equation of the graph by using any two points on the line:
I will use the points (0, 3) and (1,1)
Gradient = (3-1)/(0-1)= 2/-1 = -2
Generally, the equation of a line is given by y = mx + c, where m is the gradient and c is the y intercept, i.e the value of y when x is 0,
m = -2
c = 3
so the equation is y = -2x + 3
Now choose any point in the graph that satisfy the conditions and substitute in the equation,
i,e. in the shade region
For me I choose (-2, 1)
y = -2x + 3
-2 = -2(-2) +3
-2 = 4+3
-2 < 7
So the linear equality represented by the above graph is y < -2x + 3
Please let me know if you need any clarification. I'm always happy to answer your questions.
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