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Mathematics

If 11 + 2x > 5 and x ∈ {negative integers}, then the set to which x belongs is:

  1. {-2, -1}

  2. {-3, -2, -1, ……………}

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

  4. {1, 2, 3}

Linear Inequations

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Answer

11 + 2x > 5

⇒ 2x > 5 - 11

⇒ 2x > - 6

⇒ x > - 62\dfrac{6}{2}

⇒ x > - 3

∵ x is a negative integer.

∵ Solution set = {-2 , - 1}

Hence, option 1 is the correct option.

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