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Misc 5 - Solve -12 < 4- 3x / -5 <= 2 - Chapter 6 NCERT - Miscellaneous

Misc 5 - Chapter 6 Class 11 Linear Inequalities - Part 2


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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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Davneet Singh

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.