Solve 4(x+1)>2(x-1)

Evaluate

4 (x + 1) > 2 (x - 1)

Calculate

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4 x + 4 = 2 (x - 1)

Calculate

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4 x + 4 = 2 x - 2

Move the expression to the left side

4 x + 4 - (2 x - 2) > 0

Calculate the sum or difference

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2 x + 6 > 0

Move the constant to the right side

2 x > 0 - 6

Removing 0 doesn't change the value,so remove it from the expression

2 x > - 6

Divide both sides

\frac{2 x}{2} > \frac{- 6}{2}

Divide the numbers

x > \frac{- 6}{2}

Solution

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x > - 3

Alternative Form

x \in (- 3, + \infty)

Solve the inequality