Original PromptPlease create a one-page set of guided notes and 10 practice problems for Algebra I section 3.11 - Graphing Solutions to Absolute Value Inequalities. Please include the section number in the title.Then please create a separate page of 15 independent practice problems. A substitute teacher should be able to send these to the printer.
This resource focuses on solving absolute value inequalities and representing their solution sets graphically on a coordinate plane. It begins by stating key concepts such as the definition of absolute value as the distance from zero on a number line. The document covers both types of inequalities: those that create a conjunction (where values are between two points) and those that create a disjunction (where values point away from a central value). Through a worked example, learners are guided step-by-step on how to rephrase absolute value inequalities into compound inequalities, solve them, and graph the results. Additionally, a practice set is provided to reinforce these skills, alongside quick reference notes for AND and OR scenarios. The independent practice section offers more complex problems for learners to solve and graph, culminating in a challenge extension that encourages creativity in forming inequalities based on graphical representations.