Misc 3 - Solve -3 <= 4 - 7x / 2 <= 18 - Chapter 6 NCERT - Solving inequality  (both  sides)

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

Transcript

Misc 3 Solve the inequality -3 ≤ 4 − 7𝑥﷮2﷯ ≤ 18 -3 ≤ 4 − 7𝑥﷮2﷯ ≤ 18 Subtracting 4 all sides (Eliminating 4) -3 – 4 ≤ 4 − 7𝑥﷮2﷯ – 4 ≤ 18 – 4 -7 ≤ − 7𝑥﷮2﷯ ≤ 14 Multiplying 2 all sides (Eliminating 2) -7 × 2 ≤ − 7𝑥﷮2﷯ × 2 ≤ 14 × 2 -14 ≤ −7𝑥 ≤ 28 Dividing 7 all sides (Eliminating 7) −14﷮ 7﷯ ≤ −7𝑥﷮ 7﷯ ≤ 28﷮ 7﷯ −2 ≤−𝑥 ≤ 4 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (-2) ≥ (–1) × (–x) ≥ (–1) × (4) 2 ≥ x ≥ −4 −4 ≤ x ≤ 2 Thus, x is a real number which is less than or equal to 2 and greater than or equal to −4 Hence, x ∈ [−𝟒, 2] is the solution

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.