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Mathematics

If x ∈ W and 2x13\dfrac{2x - 1}{3} ≥ 4, the solution set is:

  1. {0, 1, 2, 3, 4, 5}

  2. {0, 1, 2, 3, 4, 5, 6}

  3. {7, 8, 9, 10, ……………}

  4. {7, 8, 9, 10}

Linear Inequations

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Answer

2x13\dfrac{2x - 1}{3} ≥ 4

On cross multiplying, we get

⇒ (2x - 1) ≥ 4 ×\times 3

⇒ 2x - 1 ≥ 12

⇒ 2x ≥ 12 + 1

⇒ 2x ≥ 13

⇒ x ≥ 132\dfrac{13}{2}

⇒ x ≥ 6.5

∵ x is a whole number.

∵ Solution set = {7, 8, 9, 10……}

Hence, option 3 is the correct option.

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