Mathematics

If x is a negative integer, then find the solution set of 3 + 2(x + 1) > -1.

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

  2. {-2, -1}

  3. {-1}

  4. none of these

Linear Inequations

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Answer

Given,

⇒ 3 + 2(x + 1) > -1

⇒ 3 + 2x + 2 > -1

⇒ 2x + 5 > -1

⇒ 2x > -1 - 5

⇒ 2x > -6

Dividing 2 on both sides we get,

⇒ x > -3

Since, x is a negative integer

⇒ Solution set = {-2, -1}.

Hence, Option 2 is the correct option.

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