Graph -3(x+1)<=6

$- 3 (x + 1) \leq 6$

Step 1

Divide each term in $- 3 (x + 1) \leq 6$ by $- 3$ and simplify.

Divide each term in $- 3 (x + 1) \leq 6$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 (x + 1)}{- 3} \geq \frac{6}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 (x + 1)}{- 3} \geq \frac{6}{- 3}$

Divide $x + 1$ by $1$ .

$x + 1 \geq \frac{6}{- 3}$

Simplify the right side.

Divide $6$ by $- 3$ .

$x + 1 \geq - 2$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Subtract $1$ from both sides of the inequality.

$x \geq - 2 - 1$

Subtract $1$ from $- 2$ .

$x \geq - 3$

Step 3

Graph -3(x+1)<=6

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