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Linear Inequalities

NCERT Class 11 Mathematics Chapter 5

Linear Inequalities for Class 11 Maths: inequalities, solving linear inequalities in one variable and showing the solutions on the number line.

2 topics Updated 8 Nov 2026

For: Class 11

In the syllabus: JEE Class 11 syllabus

With your textbook

NCERT Mathematics (Class 11), Chapter 5 “Linear Inequalities”, reprint 2026-27.

Open the official NCERT chapter (PDF, 1.4 MB, ncert.nic.in)

Checked on 19 Oct 2026.

Learn in this order

  1. Inequalities

    Inequalities for Class 11 Maths: the signs <, >, ≤ and ≥, strict and slack inequalities, numerical, literal, double and linear ones, with solved examples.

    NCERT Sections 5.1–5.2 9 min read 3 solved examples 8 practice questions

  2. Solving linear inequalities

    Solving linear inequalities for Class 11 Maths: the two rules, why a negative multiplier reverses the sign, number-line graphs, systems and word problems.

    NCERT Section 5.3 12 min read 6 solved examples 10 practice questions

Key formulas in this chapter

Inequalities

  • strict: <, >; slack: ≤, ≥
  • linear in one variable: ax + b < 0, a ≠ 0
  • linear in the plane: ax + by < c, a and b not both 0

Solving linear inequalities

  • a < b ⇒ a + c < b + c
  • a < b, k > 0 ⇒ ka < kb
  • a < b, k < 0 ⇒ ka > kb

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