# Ex 6.1, 16

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 6.1, 16 Solve the given inequality for real x: ((2๐ฅ โ 1))/3 โฅ ((3๐ฅ โ 2))/4โ((2 โ ๐ฅ))/5 ((2๐ฅ โ 1))/3 โฅ ((3๐ฅ โ 2))/4 โ((2 โ ๐ฅ))/5 ((2๐ฅ โ 1))/3 โฅ (5(3๐ฅ โ 2) โ 4(2 โ ๐ฅ))/(4(5)) ((2๐ฅ โ 1))/3 โฅ (15๐ฅ โ 10 โ 8 + 4๐ฅ)/20 ((2๐ฅ โ 1))/3 โฅ (15๐ฅ + 4๐ฅ โ 10 โ 8 )/20 ((2๐ฅ โ 1))/3 โฅ (19๐ฅ โ 18 )/20 20 (2x โ 1) โฅ 3 (19x โ 18) 40x โ 20 โฅ 57x โ 54 40x โ 57x โฅ โ 54 + 20 โ17x โฅ โ 34 โx โฅ (โ34)/( 17) โx โฅ โ2 Since x is negative, we multiply both sides by -1 & change the signs (โ 1) ร (โx) โค (โ1) ร (โ2) x โค 2 Hence, x is a real number which is less than or equal to 2 Hence, x โ (โโ, 2] is the solution

Class 11

Important Question for exams Class 11

- Chapter 1 Class 11 Sets
- Chapter 2 Class 11 Relations and Functions
- Chapter 3 Class 11 Trigonometric Functions
- Chapter 4 Class 11 Mathematical Induction
- Chapter 5 Class 11 Complex Numbers
- Chapter 6 Class 11 Linear Inequalities
- Chapter 7 Class 11 Permutations and Combinations
- Chapter 8 Class 11 Binomial Theorem
- Chapter 9 Class 11 Sequences and Series
- Chapter 10 Class 11 Straight Lines
- Chapter 11 Class 11 Conic Sections
- Chapter 12 Class 11 Introduction to Three Dimensional Geometry
- Chapter 13 Class 11 Limits and Derivatives
- Chapter 14 Class 11 Mathematical Reasoning
- Chapter 15 Class 11 Statistics
- Chapter 16 Class 11 Probability

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.