Class 11 Maths Chapter 5 Linear Inequalities – Revision Notes

Quick revision notes for Class 11 Maths Chapter 5 (Linear Inequalities). These Class 11 Maths Chapter 5 notes are ideal for quick revision just before exams.

Rules

• Add/subtract same value: direction unchanged.
• Multiply/divide by positive: direction unchanged.
• Multiply/divide by negative: direction REVERSES.

Number Line

• Open circle: <, > (excluded). Closed circle: ≤, ≥ (included).

Graphing (2 variables)

• Solid line: ≤/≥. Dashed line: </>.
• Test point (often origin) determines which side to shade.

Systems of Inequalities

• Solution = intersection (overlap) of all individual regions.

One-Line Summary

Linear inequalities are solved like equations except multiplying/dividing by a negative reverses the direction, and their solutions are ranges shown on number lines (1 variable) or shaded regions (2 variables), with systems solved by finding the overlapping region.

Written by Satish

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