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Linear Inequation

ICSE · Class 10 · Mathematics

Step-by-step guide to study Linear Inequation in ICSE Class 10 Mathematics. Topics to cover, practice strategy, and time allocation.

29 questions27 flashcards5 concepts

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A single diagram illustrating closed, open, and semi-open/semi-closed intervals on a number line, showing the notation and graphical representation for each type.
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 29 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Linear Inequation after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • Equation means equality.
  • Inequation means less than or greater than relation.
  • Linear inequation has variables only in first degree.

  • Left on number line means smaller number.
  • Right on number line means larger number.
  • < and > do not include the endpoint.

  • Replacement set is the set of allowed values.
  • Solution set is the set of values that satisfy the inequation.
  • Solution set always depends on the replacement set.

Common Mistakes to Avoid

If both sides of an inequation are multiplied or divided by a negative number, the inequality sign stays the same.

The solution set of x<4 is always the same, no matter what replacement set is used.

When a term moves from one side of an inequation to the other, the inequality sign must also change.

Memory Tips

Meaning of an inequation

Linear inequation in one variable

Linear inequation with two variables

Order on number line

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Frequently Asked Questions

What are the important topics in Linear Inequation for ICSE Class 10 Mathematics?
Linear Inequation covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Inequation — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 29 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Linear Inequation

All 22 chapters — ICSE Class 10 Mathematics Study Plan

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