Looking for real-life applications of systems of inequalities? Then look no further! This multi-day project encompasses many different parts of systems of inequalities, including defining important terms, learning how to write inequalities from given information, and interpreting solutions! It also includes real information from the music industry, and uses real recording artists from today's popular music.
I personally gave out each day separately, and scaffolded by doling out important information as we went along. I did this as a supplement to my previous lessons on systems, which especially helped in helping students understand what a solution to a system of inequalities actually means.
This can be a group or individual project, but personally I had my students work in groups while each completing their own packets separately.