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Ex 5.1, 20 Solve the given inequality and show the graph of the solution on number line: ๐‘ฅ/2 โ‰ฅ ((5๐‘ฅ โˆ’ 2))/3 โ€“ ((7๐‘ฅ โˆ’ 3))/5 ๐‘ฅ/2 โ‰ฅ ((5๐‘ฅ โˆ’ 2))/3 โ€“ ((7๐‘ฅ โˆ’ 3))/5 ๐‘ฅ/2 โ‰ฅ (5(5๐‘ฅ โˆ’ 2) โˆ’ 3(7๐‘ฅ โˆ’ 3))/(3 ร— 5) ๐‘ฅ/2 โ‰ฅ (25๐‘ฅ โˆ’ 10 โˆ’ 21๐‘ฅ + 9)/15 ๐‘ฅ/2 โ‰ฅ (4๐‘ฅ โˆ’ 1)/15 15x โ‰ฅ 2(4x โ€“ 1) 15x โ‰ฅ 8x โ€“ 2 15x โ€“ 8x โ‰ฅ โ€“2 7x โ‰ฅ โ€“2 x โ‰ฅ (โˆ’2)/7 Hence, solution is [(โˆ’๐Ÿ)/๐Ÿ•,"โˆž" ) The graphical representation is Here (โˆ’2)/7 is included in the shaded graph

  1. Chapter 5 Class 11 Linear Inequalities
  2. Serial order wise

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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