Example 11 - Chapter 5 Class 11 Linear Inequalities
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 11 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
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo