Graph -4<=4x+8

$- 4 \leq 4 x + 8$

Step 1

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

$4 x + 8 \geq - 4$

Step 2

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

Subtract $8$ from both sides of the inequality.

$4 x \geq - 4 - 8$

Subtract $8$ from $- 4$ .

$4 x \geq - 12$

Step 3

Divide each term in $4 x \geq - 12$ by $4$ and simplify.

Divide each term in $4 x \geq - 12$ by $4$ .

$\frac{4 x}{4} \geq \frac{- 12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} \geq \frac{- 12}{4}$

Divide $x$ by $1$ .

$x \geq \frac{- 12}{4}$

Simplify the right side.

Divide $- 12$ by $4$ .

$x \geq - 3$

Step 4