Ex 5.1, 11 - Chapter 5 Class 11 Linear Inequalities

Last updated at Dec. 16, 2024 by

Ex 5.1, 11 - Solve: 3(x - 2)/5 <= 5(2 - x)/3 - Chapter 6 - Ex 5.1

Remove Ads

Transcript

Ex 5.1, 11 Solve the given inequality for real x: (3(𝑥 −2))/5 ≤ (5(2 −𝑥))/3 (3(𝑥 −2))/5 ≤ (5(2 −𝑥))/3 3 × 3(x – 2) ≤ 5 × 5(2 – x) 9 (x – 2) ≤ 25 (2 – x) 9x – 18 ≤ 50 – 25x 9x + 25x ≤ 50 + 18 34x ≤ 68 𝑥 ≤ 68/34 x ≤ 2 Hence, x is a real number which is less than or equal to 2 Hence, x ∈ (–∞, 2] is the solution Ex 5.1, 11 Solve the given inequality for real x: 3( 2) 5 5(2 ) 3 3( 2) 5 5(2 ) 3 3 3(x 2) 5 5(2 x) 9 (x 2) 25 (2 x) 9x 18 50 25x 9x + 25x 50 + 18 34x 68 68 34 x 2 Hence, x is a real number which is less than or equal to 2 Hence, x ( 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo