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