Graph -28>=4-8x

$- 28 \geq 4 - 8 x$

Step 1

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

$4 - 8 x \leq - 28$

Step 2

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

Subtract $4$ from both sides of the inequality.

$- 8 x \leq - 28 - 4$

Subtract $4$ from $- 28$ .

$- 8 x \leq - 32$

Step 3

Divide each term in $- 8 x \leq - 32$ by $- 8$ and simplify.

Divide each term in $- 8 x \leq - 32$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 x}{- 8} \geq \frac{- 32}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} \geq \frac{- 32}{- 8}$

Divide $x$ by $1$ .

$x \geq \frac{- 32}{- 8}$

Simplify the right side.

Divide $- 32$ by $- 8$ .

$x \geq 4$

Step 4

Graph -28>=4-8x

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