Inequalities and Regions

This topic introduces learners to the mathematical concept of inequalities and how to represent them on a graphical plane. Students will learn how to interpret and solve linear inequalities in one or two variables, shade regions that satisfy given conditions, and identify feasible regions in real-life problems. The topic lays the foundation for linear programming, helping learners understand how constraints can define possible solutions in practical scenarios.

Learning Outcomes

By the end of this topic, learners will be able to:

• identify and use inequality symbols.
• Understand the meaning and symbols of inequality statements.
• illustrate inequalities on the number lines.
• solve linear inequalities in one unknown.
• Solve and represent linear inequalities algebraically and graphically.
• Shade wanted/ unwanted regions on the Cartesian plane that satisfy given inequalities.
• Identify the feasible region for a set of simultaneous inequalities.
• Finding inequalities representing shaded/unshaded regions
• form simple linear inequalities from word problems.
• Apply inequalities to real-life problem-solving, such as budgeting, planning, and resource allocation.