Example 4 - Chapter 5 Class 11 Linear Inequalities

Last updated at December 16, 2024 by Teachoo

Example 4 - Solve 5 - 2x /3 <= x/6 - 5 - Chapter 6 Class 11 - Examples

part 2 - Example 4 - Examples - Serial order wise - Chapter 5 Class 11 Linear Inequalities

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Example 4 Solve (5 − 2𝑥)/3 ≤ 𝑥/6 − 5. (5 − 2𝑥)/3 ≤ 𝑥/6 − 5 (5 − 2𝑥)/3 ≤ (𝑥 − 30)/6 6 × (5 − 2𝑥)/3 ≤ x – 30 2(5 – 2x) ≤ x – 30. 10 – 4x ≤ x – 30 – 4x – x ≤ – 30 – 10 – 5x ≤ – 40 – x ≤ (−40)/( 5) – x ≤ −8 Since x is negative, we multiply both sides by −1 & change the signs (– 1) × (–x) ≥ (– 1) × (–8) x ≥ 8 Hence, x is a real number greater than or equal to 8 Hence, x ∈ [8, ∞) is the solution

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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