A system of linear inequalities is when you have two separate inequalities that are related in that they share the same variables. To solve these you need to determine the order pair that is the solution to both inequalities. To display the solution we often graph all of the possible solutions by shading. These problems can be solved algebraically or by graphing both inequalities. To solve graphically, plot and shade each inequality on a graph. The solution is where both inequalities intersect.

A system of inequalities is a set or type of two or more inequalities in one or more variables form. Systems of inequalities are used when a problem requires a different range of solutions, and there is one more additional constraint on those solutions. Just have the idea with the example. Jack is the manager of a well-established textile factory. His workers have a total of 400 person-hours this week for him to allocate. The target is settled as every ten shirts will take 2 hours to produce, and every ten pairs of pants will take 3 hours to produce. Jack has a set target to manufacture at least 30 shirts and 20 pairs of pants this week. How will Jack allocate his person-hours, and how will his production get ready on time? This is where the system of inequalities will do the job. The mathematical formula of inequalities will make Jack decide what he needs to do the correct allocations. These worksheets explain how to graph linear systems, including those with inequalities. Students will require colored pencils in order to shade some answers according to directions.