Class 11 Math: Linear Inequalities Solved Examples & Step Solutions

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 11 Linear Inequalities.

Step-by-Step Solved Problems

Example 1: Solving Inequality

Worked Solution Steps:

1. Subtract 12 from both sides: -3x < -9.
2. Divide by -3 and reverse the inequality sign: x > 3.
3. Solution interval: (3, ∞).

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.