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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.