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Ex 6.1, 11 - Solve: 3(x - 2)/5 <= 5(2 - x)/3 - Chapter 6

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Ex 6.1, 11 Solve the given inequality for real x: (3(π‘₯ βˆ’2))/5 ≀ (5(2 βˆ’π‘₯))/3 (3(π‘₯ βˆ’2))/5 ≀ (5(2 βˆ’π‘₯))/3 3 Γ— 3(x – 2) ≀ 5 Γ— 5(2 – x) 9 (x – 2) ≀ 25 (2 – x) 9x – 18 ≀ 50 – 25x 9x + 25x ≀ 50 + 18 34x ≀ 68 π‘₯ ≀ 68/34 x ≀ 2 Hence, x is a real number which is less than or equal to 2 Hence, x ∈ (β€“βˆž, 2] is the solution Ex 6.1, 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

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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.