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Give that X ∈ I. Solve the Inequation and Graph the Solution on the Number Line: - Mathematics

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प्रश्न

Give that x ∈ I. Solve the inequation and graph the solution on the number line:
`3≥(x  - 4)/(2)+x/(3)≥2`

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उत्तर

`3≥(x  - 4)/(2)+x/(3)≥2`
⇒ `3≥(3(x  - 4)+2x)/(6)≥2`
⇒ 18 ≥ 5x - 12 ≥ 12
⇒ 30 ≥ 5x ≥ 24
⇒ `(24)/(5) ≤ x ≤ 6`           ...(x ∈ I)

∴ The solution set = (5, 6)

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Representation of Solution on the Number Line
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पाठ 5: Linear Inequations (Solving Linear Inequations in One Variable) - Exercise

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आईसीएसई Mathematics [English] Class 10
पाठ 5 Linear Inequations (Solving Linear Inequations in One Variable)
Exercise | Q 1
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