Solve 2x-3x-x-2/2>0

$$\frac { 2 x - 3 x - x - 2 } { 2 } > 0$$

Solve for x

$$x<-1$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same. Anything times zero gives zero.

$$2x-3x-x-2>0$$

Combine 2x and -3x to get -x.

$$-x-x-2>0$$

Combine -x and -x to get -2x.

$$-2x-2>0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-2x>2$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x<\frac{2}{-2}$$

Divide 2 by -2 to get -1.

$$x<-1$$