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Mathematics

Solve : 23\dfrac{2}{3} x + 8 < 12 ; x ∈ W.

Linear Inequations

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Answer

23\dfrac{2}{3} x + 8 < 12

23\dfrac{2}{3} x < 12 - 8

23\dfrac{2}{3} x < 4

⇒ x < 4×32\dfrac{4 \times 3}{2}

⇒ x < 122\dfrac{12}{2}

⇒ x < 6

∵ x is a whole number.

Hence, solution set = {0, 1, 2, 3, 4, 5}.

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