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Mathematics

If 5x - 3 ≤ 12 and x ∈ {-5, -3, -1, 1, 3, 5, 7} the solution set is:

  1. {-5, -3, -1, 1, 3}

  2. {-5, -3, -1}

  3. {-5, -3, -1, 1}

  4. {-3, -1, 1, 3, 6}

Linear Inequations

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Answer

5x - 3 ≤ 12

⇒ 5x ≤ 12 + 3

⇒ 5x ≤ 15

⇒ x ≤ 155\dfrac{15}{5}

⇒ x ≤ 3

∵ As x ∈ {-5, -3, -1, 1, 3, 5, 7}.

∵ Solution set = {-5, -3, -1, 1, 3}

Hence, option 1 is the correct option.

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