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Mathematics

Solve the inequality 18 - 3 (2x - 5) > 12 ; x ∈ W.

Linear Inequations

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Answer

18 - 3 (2x - 5) > 12

⇒ 18 - 6x + 15 > 12

⇒ 33 - 6x > 12

⇒ - 6x > 12 - 33

⇒ - 6x > - 21

⇒ 6x < 21

⇒ x < 216\dfrac{21}{6}

⇒ x < 3.5

∵ x is a whole number.

Hence, solution set = {0, 1, 2, 3}.

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