Solve the inequality for x.

(x - 1) - (1 - x) < (x - 1) - (2 - 2x)

(x - 1) - (1 - x) < (x - 1) - (2 - 2x)

(x + 1) - (1 - x) < (x - 1) - (2 - 2x)

x + 1 - 1 + x < x - 1 - 2 + 2x {removed parentheses}

2x < 3x - 3 {combined like terms}

-x < -3 {subtracted 3x from each side}

x + 1 - 1 + x < x - 1 - 2 + 2x {removed parentheses}

2x < 3x - 3 {combined like terms}

-x < -3 {subtracted 3x from each side}

**x > 3**{divided each side by -1 and changed the inequality sign}*Whenever you multiply or divide both sides of an inequality by a negative number,*

change (reverse) the inequality sign.change (reverse) the inequality sign.

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