Class 11 Math: Linear Inequalities Quick Revision Chapter Summary

Need to review the entire chapter before a test? This quick revision guide summarizes all the core concepts, topics, and equations taught in Class 11 Linear Inequalities to help you refresh your memory instantly.

Core Topics At a Glance

### 📌 Algebraic solutions of linear inequalities in one variable Solving linear inequalities involves isolating the variable similarly to equations. However, multiplying or dividing both sides by a negative number reverses the direction of the inequality sign.

### 📌 Graphical representation of inequalities in two variables To graph an inequality in two variables, plot the boundary line ax + by = c. Use a solid line for ≤ or ≥, and a dashed line for < or >. Shade the region that satisfies the inequality (determined by testing a point like (0,0)).

### 📌 Feasible boundary region The feasible region is the common overlapping region shaded on a graph that satisfies a system of multiple linear inequalities simultaneously. It represents the set of all possible solutions.

Key Formulas Mind Map

• Inequality sign multiplication: `a < b \land c < 0 \Rightarrow ac > bc` - Reverses inequality sign when multiplying by a negative number....

Revision Checklist

1. Review the subtopic guides and outline notes.
2. Practice writing the key formulas from memory.
3. Solve at least 3 worked examples and check your steps.
4. Take a timed practice quiz to verify your speed.