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Mathematics

Solve : 2x+13\dfrac{2x + 1}{3} + 15 ≤ 17; x ∈ W.

Linear Inequations

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Answer

2x+13\dfrac{2x + 1}{3} + 15 ≤ 17

Multiply each term with 3 to get:

3(2x+1)3\dfrac{3(2x + 1)}{3} + 15 ×\times 3 ≤ 17 ×\times 3

⇒ 2x + 1 + 45 ≤ 51

⇒ 2x + 46 ≤ 51

⇒ 2x ≤ 51 - 46

⇒ 2x ≤ 5

⇒ x ≤ 52\dfrac{5}{2}

⇒ x ≤ 2.5

∵ As x is a whole number.

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

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