Ex 5.1, 20 Solve the given inequality and show the graph of the solution on number line: 𝑥/2 ≥ ((5𝑥 − 2))/3 – ((7𝑥 − 3))/5 𝑥/2 ≥ ((5𝑥 − 2))/3 – ((7𝑥 − 3))/5 𝑥/2 ≥ (5(5𝑥 − 2) − 3(7𝑥 − 3))/(3 × 5) 𝑥/2 ≥ (25𝑥 − 10 − 21𝑥 + 9)/15 𝑥/2 ≥ (4𝑥 − 1)/15 15x ≥ 2(4x – 1) 15x ≥ 8x – 2 15x – 8x ≥ –2 7x ≥ –2 x ≥ (−2)/7 Hence, solution is [(−𝟐)/𝟕,"∞" ) The graphical representation is Here (−2)/7 is included in the shaded graph

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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