Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in the form \(ax+by+c>0\) or \(ax+by+c\geq0\) where \(a, \:b,\) and \(c\) are integers with no common factor greater than 1.)
y - 1 = 2(x - 1) ==> y = 2x - 2 + 1 = 2x -1
Test the point (0, 0) ===> The equation should be y > 2x - 1
equation of the red line in the form y=mx+b:
slope is 2, y-intercept is -1, so the equation of the red line is y=2x-1
since it's a dashed line, the line isn't included in the shaded region
so the equation is y<2x-1
in the form ax+by+c>0, this equation sould be 2x-y-1>0
JP