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

Transcript

Misc 4 Solve the inequality โˆ’15 < (3(๐‘ฅ โˆ’ 2))/5 โ‰ค 0 โˆ’15 < (3(๐‘ฅ โˆ’ 2))/5 โ‰ค 0 Multiplying 5 all sides (Eliminating 5) โˆ’15 ร— 5 < 5 ร— (3(๐‘ฅ โˆ’ 2))/5 โ‰ค 5 ร— 0 โ€“75 < 3(x โ€“ 2) โ‰ค 0 Dividing 3 all sides (Eliminating 3) (โˆ’75)/3 < (3(๐‘ฅ โˆ’ 2))/3 โ‰ค 0/3 โ€“25 < x โ€“ 2 โ‰ค 0 Adding 2 all sides (Eliminating 2) โ€“ 25 + 2 < x โ€“ 2 + 2 โ‰ค 0 + 2 โ€“23 < x โ‰ค 2 Thus, x is a real number which is less than or equal to 2 and greater than โˆ’23 Hence, x โˆˆ (โ€“23, 2] 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.