Misc 5 - Solve -12 < 4- 3x / -5 <= 2 - Chapter 6 NCERT  - Solving inequality  (both  sides)

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  1. Chapter 6 Class 11 Linear Inequalities
  2. Serial order wise
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Misc 5 Solve the inequality −12 < 4 − 3𝑥﷮−5﷯ ≤ 2 −12 < 4 − 3𝑥﷮−5﷯ ≤ 2 Subtracting 4 all sides (Eliminating 4) – 12 – 4 < 4 − 3𝑥﷮−5﷯ – 4 ≤ 2 – 4 −16 < − 3𝑥﷮−5﷯ ≤ −2 −16 < 3𝑥﷮5﷯ ≤ −2 Multiplying 5 all sides (Eliminating 4) −16 × 5 < 3𝑥﷮5﷯ × 5 ≤ −2 × 5 –80 < 3x ≤ –10 Dividing 3 all sides (Eliminating 3) −80﷮3﷯ < 3𝑥﷮3﷯ ≤ −10﷮3﷯ −80﷮3﷯ < 𝑥 ≤ −10﷮3﷯ Thus, x is a real number which is less than or equal to −10﷮3﷯ and greater than −80﷮3﷯ Hence, x ∈ −𝟖𝟎﷮𝟑﷯, −𝟏𝟎﷮𝟑﷯﷯ is the solution

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