Graph 11+7x>=-17

$11 + 7 x \geq - 17$

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

Subtract $11$ from both sides of the inequality.

$7 x \geq - 17 - 11$

Subtract $11$ from $- 17$ .

$7 x \geq - 28$

Divide each term in $7 x \geq - 28$ by $7$ and simplify.

Divide each term in $7 x \geq - 28$ by $7$ .

$\frac{7 x}{7} \geq \frac{- 28}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} \geq \frac{- 28}{7}$

Divide $x$ by $1$ .

$x \geq \frac{- 28}{7}$

Simplify the right side.

Divide $- 28$ by $7$ .

$x \geq - 4$