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

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  1. Chapter 6 Class 11 Linear Inequalities (Term 2)
  2. Serial order wise

Transcript

Ex 6.1, 11 Solve the given inequality for real x: (3(๐‘ฅ โˆ’2))/5 โ‰ค (5(2 โˆ’๐‘ฅ))/3 (3(๐‘ฅ โˆ’2))/5 โ‰ค (5(2 โˆ’๐‘ฅ))/3 3 ร— 3(x โ€“ 2) โ‰ค 5 ร— 5(2 โ€“ x) 9 (x โ€“ 2) โ‰ค 25 (2 โ€“ x) 9x โ€“ 18 โ‰ค 50 โ€“ 25x 9x + 25x โ‰ค 50 + 18 34x โ‰ค 68 ๐‘ฅ โ‰ค 68/34 x โ‰ค 2 Hence, x is a real number which is less than or equal to 2 Hence, x โˆˆ (โ€“โˆž, 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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