Check sibling questions

Misc 4 - Solve -15 <= 3 (x - 2) <=0 - Chapter 6 Class 11

Misc 4 - Chapter 6 Class 11 Linear Inequalities - Part 2

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Misc 4 Solve the inequality −15 < (3(𝑥 − 2))/5 ≤ 0 −15 < (3(𝑥 − 2))/5 ≤ 0 Multiplying 5 all sides (Eliminating 5) −15 × 5 < 5 × (3(𝑥 − 2))/5 ≤ 5 × 0 –75 < 3(x – 2) ≤ 0 Dividing 3 all sides (Eliminating 3) (−75)/3 < (3(𝑥 − 2))/3 ≤ 0/3 –25 < x – 2 ≤ 0 Adding 2 all sides (Eliminating 2) – 25 + 2 < x – 2 + 2 ≤ 0 + 2 –23 < x ≤ 2 Thus, x is a real number which is less than or equal to 2 and greater than −23 Hence, x ∈ (–23, 2] is the solution

Davneet Singh's photo - Co-founder, Teachoo

Made by

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.