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hello and welcome to todays lesson one of our final lessons for algebra 1 lesson 5.5 solving a system of linear inequalities by graphing this is one of my favorite lessons discuss graphing inequalities is is something interesting and new and kind of fun so were going to look at these and were going to graph them very similar to the way that we graph a system of you know equations except that were not looking for the point of intersection but were going to be looking for where the shading overlaps so when were looking at our system of inequality so today were just going to kind of focus on graphing inequalities just one inequality and then well well go from there so lets take a look here at our first one and well get started so lets write down some some rules for us to follow and and guidelines for us to have as were going through this so the first one is that were going to rewrite an inequality and slope-intercept form so we always just want to be able to graph them in sl