What types of inequalities are covered in Module 4?

The focus of Module 4 is primarily on linear inequalities and their graphical representations. This topic is crucial as it allows students to understand how to solve inequalities involving linear expressions and to visualize these solutions on a number line or graph. Graphical representations help in identifying the set of solutions for linear inequalities, which can include regions of the graph that satisfy the inequality conditions.

Linear inequalities involve expressions of the form ax + b < c or ax + b > c, among others, where a, b, and c are constants. By exploring the graphical representation, students learn how to interpret and shade the appropriate regions on a coordinate plane, thus providing a concrete visual understanding of how these inequalities work.

In contrast, the other types of inequalities mentioned do not align with the main content of Module 4. Quadratic inequalities, while important, are not the focus here; module content is geared more towards linear cases. Absolute value inequalities also involve different solving techniques and graphical interpretations, which are not the primary emphasis in this module. Inequalities without graphical representations would not encompass the core learning objectives aimed at enhancing students’ comprehension of visual data related to linear inequalities.