If ∣ x + 2 ∣ ≤ 9, then
The NCERT Maths textbook for Class 11 in the CBSE 2024-2025 academic year includes an important chapter on Linear Inequalities. This chapter helps students understand how to solve and graph inequalities in one and two variables. It also explains the properties of inequalities and their applications in everyday situations. Multiple Choice Questions (MCQs) are provided to test students’ knowledge and improve their problem-solving skills. These questions focus on key concepts like inequality signs solution sets and interval notation. By studying this chapter students build a strong foundation in algebra which is essential for higher-level mathematics and competitive exams. The chapter encourages logical thinking and precision making it a vital part of the Class 11 Maths curriculum.
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Choice (b) is correct.
Given, ∣ x + 2 ∣ ≤ 9 ⇒ -9 ≤ x + 2 ≤ 9
⇒ -9 -2 ≤ x ≤ 9 – 2 ⇒ -11 ≤ x ≤ 7
⇒ x ∈ [-11, 7]
This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding.
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