Solve -2(x-2)<x 1

Evaluate

- 2 (x - 2) < x \times 1

Any expression multiplied by 1 remains the same

- 2 (x - 2) < x

Expand the expression

More Steps

- 2 x + 4 < x

Move the variable to the left side

- 2 x + 4 - x < 0

Subtract the terms

More Steps

- 3 x + 4 < 0

Move the constant to the right side

- 3 x < 0 - 4

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

- 3 x < - 4

Change the signs on both sides of the inequality and flip the inequality sign

3 x > 4

Divide both sides

\frac{3 x}{3} > \frac{4}{3}

Solution

x > \frac{4}{3}

Alternative Form

x \in (\frac{4}{3}, + \infty)

Solve the inequality