Linear inequalities in one or two variables

Learning objectives

Solve a linear inequality in one variable, reversing the inequality sign when multiplying or dividing by a negative number

Write inequalities from constraints in context, such as budgets, capacities and minimum requirements, and interpret the solution set

Graph a linear inequality in two variables and identify the half-plane and boundary line that satisfy it

Find the solution region of a system of two linear inequalities and test whether a given point lies in it

Identify the largest or smallest value of a variable that satisfies all the constraints in a system of inequalities