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Mathematics

Solve : 15 - 2(2x - 1) < 15, x ∈ Z.

Linear Inequations

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Answer

15 - 2(2x - 1) < 15

⇒ 15 - 4x + 2 < 15

⇒ 17 - 4x < 15

⇒ - 4x < 15 - 17

⇒ - 4x < - 2

⇒ 4x > 2

⇒ x > 24\dfrac{2}{4}

⇒ x > 0.5

∵ x is a whole number.

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

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