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Mathematics

Introduction to inequalities

In this Class 12 Mathematics topic from the chapter Linear Inequalities, students are introduced to statements that compare quantities using symbols such as <, >, ≤ and ≥. They learn how to read and represent inequalities, distinguish them from equations, and understand how solution sets describe all values that satisfy a condition. The topic builds the foundation for solving and graphing linear inequalities on the number line.

Easy · Level 1 · 1 questions

Practice questions

01Which option correctly writes the interval [0, 3) in set-builder form?

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Answer and explanation

Correct answer: B. {x : 0 ≤ x < 3}

In the interval [0, 3), the square bracket at 0 means that 0 is included, while the round parenthesis at 3 means that 3 is excluded. Therefore, the equivalent inequality is 0 ≤ x < 3. Option A excludes both endpoints, C excludes 0 and includes 3, and D includes both endpoints, so none of them represents the given interval.

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Introduction to inequalities

Practice questions

01Which option correctly writes the interval [0, 3) in set-builder form?अंतराल [0, 3) को समुच्चय रूप में कौन-सा विकल्प सही लिखता है?

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01Which option correctly writes the interval [0, 3) in set-builder form?