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Mathematics

Introduction to inequalities

Introduction to Inequalities is a Class 11 Mathematics topic within the chapter Linear Inequalities. It helps students understand how inequalities compare quantities using symbols such as <, >, ≤, and ≥, and how their solutions differ from those of equations. Students learn to represent solution sets on the number line, interpret interval-like ranges, and solve basic linear inequalities. The topic also explains why the inequality sign reverses when both sides are multiplied or divided by a negative number.

Expert · Level 5 · 5 questions

Practice questions

01If (x\in\mathbb{Z}) and (-2\le\frac{3x-1}{2}<5), what is the solution set?

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02What is the correct solution of (\frac{2x-5}{4}>\frac{x+1}{3})?

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03If (a<b) and (d>0), which of the following is always true?

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04Which option gives the correct solution of (\frac{x-4}{x+2}<0)?

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05A book costs (p) rupees and the budget is less than (350) rupees. Which inequality is correct?

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