Subscribe to our Youtube Channel - https://you.tube/teachoo
Example 18 - Chapter 6 Class 11 Linear Inequalities
Last updated at Feb. 17, 2020 by Teachoo
Transcript
Example 18 Solve the system of inequalities: 3x – 7 < 5 + x 11 – 5 x ≤ 1 and represent the solutions on the number line. Solving 3x – 7 < 5 + x 3x – x < 5 + 7 2x < 12 x < 12/2 x < 6 Solving 11 – 5x ≤ 1 – 5x ≤ 1 – 11 – 5x ≤ – 10 – x ≤ (−10)/5 – x ≤ −2 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (-x) ≥ (–1) × (–2) x ≥ 2 Thus, x < 6 & x ≥ 2 The graphical representation is Here 2 is included in the shaded graph & 6 is not included The solution is 2 ≤ x < 6
Examples
Example 1
Example 2 Important
Example 3
Example 4 Important
Example 5
Example 6
Example 7
Example 8 Important
Example 9
Example 10 Important
Example 11 Important
Example 12
Example 13 Important
Example 14
Example 15
Example 16 Important
Example 17
Example 18 Important You are here
Example 19
Example 20 Important
Chapter 6 Class 11 Linear Inequalities
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.