InequalitiesWe start by summarizing some facts about inequalities: Note For the rest of this tutorial, we will be discussing only non-strict inequalities: $\leq$ and $\geq$, and of a particular type.
Linear inequalities in two unknownsThe kinds of inequalities we are interested in here are the linear (non-strict) inequalities, specifically those with two unknowns $x$ and $y$: Consider the following inequality:
Application: Setting up a system of linear inequalitiesThe Scrumptious %30 company makes two brands of %30 for vendors: %31, using %51 of %34 and %53 of %35 per %33, and %32, using %52 of %34 and %54 of %35 per %33. Each day the company uses a total of %38 %55 %36s of %34 and %39 %56 %36s of %35. The company bylaws stipulate that it make %40 %41 times as much %42 as %43. Let $x$ be the number of %37 of %31, and let $y$ be the number of %37 of %32. Express these constraints as a system of linear inequalities in $x$ and $y:$
Now try the exercises in %4, some the %8, or move ahead to the next tutorial by pressing "Next tutorial" on the sidebar.