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Mathematics

Solve the inequation 8 - 2x ≥ x - 5; x ∈ N.

Linear Inequations

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Answer

8 - 2x ≥ x - 5

⇒ 8 + 5 ≥ x + 2x

⇒ 13 ≥ 3x

133\dfrac{13}{3} ≥ x

⇒ 4.33… ≥ x

∵ x is a natural number.

Hence, solution set = {1, 2, 3, 4}.

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