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Question
For the following inequation, represent the solution on a number line :
4(3x + 1) > 2(4x - 1), x is a negative integer
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Solution
4(3x + 1) > 2(4x - 1), x is a negative integer
⇒ 12x + 4 > 8x - 2
⇒ 12x - 8x > -2 - 4
⇒ 4x > -6
⇒ x > `(-6)/4`
⇒ x > -1.5
∴ x = {-1}

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