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Misc 2 - Solve 6 <= -3(2x - 4) < 12 - Chapter 6 CBSE - Solving inequality  (both  sides)

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  1. Chapter 6 Class 11 Linear Inequalities
  2. Serial order wise
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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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