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Example 17 - Solve -5 <= 5 - 3x/2 <= 8 - Chapter 6 CBSE - Solving inequality  (both  sides)

Example 17 - Chapter 6 Class 11 Linear Inequalities - Part 2

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Example 17 Solve 5 5 3 2 8. 5 5 3 2 8 Multiplying 2 all sides (Eliminating 2) 5 2 5 3x 8 2 10 5 3x 16 Subtracting 5 all sides (Eliminating 5) 10 5 5 3x 5 16 5 10 5 5 3x 5 16 5 15 3x 11 Dividing 3 all sides (Eliminating 3) 15 3 3 3 11 3 -5 11 3 Since x is negative, we multiply both sides by -1 & change the signs ( 1) (-5) ( 1) ( x) ( 1) ( 11 3 ) 5 x 11 3 11 3 x 5 Thus, x is a real number which is less than or equal to 5 and greater than or equal to 11 3 Hence, x , 5 is the solution

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.