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all right um so in this example um what you guys are going to be working on basically theyre asking us to solve our linear inequalities so to do that basically what we have to do is graph each of these linear inequalities separately so both of these inequalities im going to decide to graph using slope intercept form so to go ahead and do that what im going to do is im going to solve for y in each case so i have 2y im sorry 2x 2x plus y equals 3 and 3x minus y equals 2. now again the reason why im solving them with equals rather than inequalities is when graphing especially in slope-intercept form we think of things as terms of y equals mx plus b and im going to sneeze um oh i loved it see every single time when i say im going to seize i dont sneeze all right so i set them as equations so now i can rewrite this in slope-intercept form so to do that i subtract 2x on both sides and i get y equals negative 2x plus 3. over here its very very important for us to understand im actu