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Mathematics

The solution set of 4x - 9 ≥ 7, where x ∈ {1, 2, 3, 4, 5, 6, 7, 8}, is :

  1. {1, 2, 3, 4}

  2. {4, 5, 6, 7, 8}

  3. {1, 2, 3}

  4. {5, 6, 7, 8}

Linear Inequations

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Answer

⇒ 4x - 9 ≥ 7

⇒ 4x ≥ 7 + 9

⇒ 4x ≥ 16

⇒ x ≥ 164\dfrac{16}{4}

⇒ x ≥ 4

Since, x ∈ {1, 2, 3, 4, 5, 6, 7, 8}

Solution set = {4, 5, 6, 7, 8}.

Hence, Option 2 is the correct option.

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