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Misc 2 - Solve 6 <= -3(2x - 4) < 12 - Chapter 6 CBSE - Miscellaneous

Misc 2 - Chapter 6 Class 11 Linear Inequalities - Part 2


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Misc 2 Solve the inequality 6 ≤ –3(2x – 4) < 12 6 ≤ – 3(2x – 4) < 12 6 ≤ – 6x + 12 < 12 Subtracting 12 all sides (Eliminating 12) 6 – 12 ≤ – 6x + 12 – 12 < 12 – 12 –6 ≤ – 6x < 0 Dividing 6 all sides (Eliminating 6) (−6)/( 6) ≤ (−6𝑥)/6 < 0/6 −1 ≤ −𝑥 < 0 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (–1) ≥ (–1) × (–x) > (–1) × (0) 1 ≥ x > 0 0 < x ≤ 1 Thus, x is a real number which is less than or equal to 1 and greater than 0 Hence, x ∈ (0, 1] 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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.