In this chapter, we expand on the ideas presented in Chapter 1 and apply them to one-variable inequalities. Inequalities are statements that express quantities that are not equal.
The chapter begins with writing one-variable inequalities and representing them on number lines. Then, using the Properties of Inequality and inverse operations, one-step and multi-step inequalities are solved in the same ways one-variable equations are solved.
We then begin solving compound inequalities – inequalities that consist of two or more inequalities – and analyze their solutions sets through intersections and unions. Finally, one-variable inequalities are created to solve situations in context.