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Mathematics

If x is a whole number and 12 - x > 3x - 5; the solution set is:

  1. {1, 2, 3, 4}

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

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

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

Linear Inequations

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Answer

12 - x > 3x - 5

⇒ 12 + 5 > 3x + x

⇒ 17 > 4x

⇒ x < 174\dfrac{17}{4}

⇒ x < 4.25

∵ x is a whole number.

∵ Solution set = {0, 1, 2, 3, 4}

Hence, option 4 is the correct option.

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