Find a linear inequality with the following solution set. Each grid line represents one unit.
The equation of the red dotted line is of the form y = mx + c.
It passes through points (3,1) and (1, -2), so the slope, m, is m = (1-(-2))/(3-1) or m = 3/2.
Since it passes through (3,1) we have 1 = (3/2)*3 + c, so c = -7/2
Hence The inequality describing the yellow region is y >= (3/2)x - 7/2
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