Solve left(x+3right)left(x-1right)-3x<x^2-2x+1

$$\left( x+3 \right) \left( x-1 \right) -3x < { x }^{ 2 } -2x+1$$

Solve for x

$$x<4$$

Solution Steps

Use the distributive property to multiply x+3 by x-1 and combine like terms.

$$x^{2}+2x-3-3x<x^{2}-2x+1$$

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

$$x^{2}-x-3<x^{2}-2x+1$$

Subtract x^{2} from both sides.

$$x^{2}-x-3-x^{2}<-2x+1$$

Combine x^{2} and -x^{2} to get 0.

$$-x-3<-2x+1$$

Add 2x to both sides.

$$-x-3+2x<1$$

Combine -x and 2x to get x.

$$x-3<1$$

Add 3 to both sides.

$$x<1+3$$

Add 1 and 3 to get 4.

$$x<4$$