Ex 6.1, 20 - Solve x/2 >= (5x - 2)/3 - (7x - 3)/5, number line - Solving on number line (one graph)

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  1. Chapter 6 Class 11 Linear Inequalities
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Ex 6.1, 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﷯ The graphical representation is Here ﷐−2﷮7﷯ is included in the shaded graph

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