Class 11 Mathematics — Chapter 5: LINEAR INEQUALITIES

What you'll learn

• ▸Introduction to Inequalities
• ▸Types of Linear Inequalities
• ▸Solution of an Inequality
• ▸Rules for Solving Linear Inequalities
• ▸Algebraic Solution of Linear Inequalities in One Variable
• ▸Graphical Representation of Solutions on a Number Line
• ▸Word Problems involving Linear Inequalities

Chapter Summary

--- PAGE 1 --- Chapter 5 LINEAR INEQUALITIES ❖ Mathematics is the art of saying many things in many different ways. – MAXWELL ❖ 5.1 Introduction In earlier classes, we have studied equations in one variable and two variables and also solved some statement problems by translating them in the form of equations. Now a natural question arises: ‘Is it always possible to translate a statement problem in the form of an equation? For example, the height of all the students in your class is less than 160 cm. Your classroom can occupy utmost 60 tables or chairs or both. Here we get certain statements involving a sign ‘<’ (less than), ‘>’ (greater than), ‘≤’ (less than or equal) and ‘≥’ (greater than or equal) which are known as *inequalities*. In this Chapter, we will study linear inequalities in one and two variables. The study of inequalities is very useful in solving problems in the field of science, mathematics, statistics, economics, psychology, etc. 5.2 Inequalities L…

Practice Questions from this Chapter

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1. Explain real-world inequalities simply. Get Solution →
2. Show inequalities on a number line. Get Solution →
3. Give more inequality solving rules. Get Solution →
4. According to the text, which of the following best defines an inequality? Get Solution →
5. Which of the following is an example of a 'strict inequality' as described in the chapter? Get Solution →
6. The inequality `ax + b ≥ 0` is an example of which type of inequality? Get Solution →
7. What is the key difference mentioned in the text for solving an inequality compared to an equation? Get Solution →
8. Based on the examples on page 2, which of the following is a 'literal inequality'? Get Solution →

Did you know?

• 💡 The symbols "<" and ">" were first used by English mathematician Thomas Harriot in 1631.
• 💡 The letter "x" became popular for unknowns because Arabic texts used a sound like "sh" for it.
• 💡 Speed limits are a real-world example of inequalities, meaning you must drive less than a set speed.
• 💡 Computer programs often use inequalities to make decisions, like if a score is greater than 100.
• 💡 There are more numbers between zero and one than there are whole numbers in existence.

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