Solve the Inequality for x -3(x-3)<-2x-x+1

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

Step 1

Rewrite so $x$ is on the left side of the inequality.

$- 2 x - x + 1 > - 3 (x - 3)$

Step 2

Subtract $x$ from $- 2 x$ .

$- 3 x + 1 > - 3 (x - 3)$

Step 3

Simplify $- 3 (x - 3)$ .

Apply the distributive property.

$- 3 x + 1 > - 3 x - 3 \cdot - 3$

Multiply $- 3$ by $- 3$ .

$- 3 x + 1 > - 3 x + 9$

Step 4

Move all terms containing $x$ to the left side of the inequality.

Add $3 x$ to both sides of the inequality.

$- 3 x + 1 + 3 x > 9$

Combine the opposite terms in $- 3 x + 1 + 3 x$ .

Add $- 3 x$ and $3 x$ .

$0 + 1 > 9$

Add $0$ and $1$ .

$1 > 9$

Step 5

Since $1 < 9$ , there are no solutions.

No solution