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

Transcript

Misc 5 Solve the inequality โˆ’12 < 4 โˆ’3๐‘ฅ/(โˆ’5) โ‰ค 2 โˆ’12 < 4 โˆ’3๐‘ฅ/(โˆ’5) โ‰ค 2 Subtracting 4 all sides (Eliminating 4) โ€“ 12 โ€“ 4 < 4 โˆ’ 3๐‘ฅ/(โˆ’5) โ€“ 4 โ‰ค 2 โ€“ 4 โˆ’16 < โˆ’3๐‘ฅ/(โˆ’5) โ‰ค โˆ’2 โˆ’16 < 3๐‘ฅ/5 โ‰ค โˆ’2 Multiplying 5 all sides (Eliminating 4) โˆ’16 ร— 5 < 3๐‘ฅ/5 ร— 5 โ‰ค โˆ’2 ร— 5 โ€“80 < 3x โ‰ค โ€“10 Dividing 3 all sides (Eliminating 3) (โˆ’80)/3 < 3๐‘ฅ/3 โ‰ค (โˆ’10)/3 (โˆ’80)/3 < ๐‘ฅ โ‰ค (โˆ’10)/3 Thus, x is a real number which is less than or equal to (โˆ’10)/3 and greater than (โˆ’80)/3 Hence, x โˆˆ ((โˆ’๐Ÿ–๐ŸŽ)/๐Ÿ‘,(โˆ’๐Ÿ๐ŸŽ)/๐Ÿ‘] is the solution

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.