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

List the solution set of the inequation $\frac{1}{2} + 8 x > 5 x - \frac{3}{2}$ , x ∈ Z

Sum

$\frac{1}{2} + 8 x > 5 x - \frac{3}{2}$

⇒ 8x - 5x > $- \frac{3}{2} - \frac{1}{2}$
⇒ 3x > - 2

⇒ x > $- \frac{2}{3}$
∵ 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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Chapter 4: Linear Inequations - Exercise 4.1

Chapter 4 Linear Inequations
Exercise 4.1 | Q 11

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