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List the solution set of the inequation 12+8x>5x−3212+8x>5x-32(1)/(2) + 8x > 5x -(3)/(2), x ∈ Z - Mathematics

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प्रश्न

List the solution set of the inequation `(1)/(2) + 8x > 5x -(3)/(2)`, x ∈ Z

बेरीज

उत्तर

`(1)/(2) + 8x > 5x -(3)/(2)`

⇒ 8x - 5x > `-(3)/(2) - (1)/(2)`
⇒ 3x > - 2

⇒ x > `-(2)/(3)`
∵ x ∈ Z,
∴ Solution set = {0, 1, 2, 3, 4, ........}.

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Solving Algebraically and Writing the Solution in Set Notation Form
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पाठ 4: Linear Inequations - Exercise 4.1

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