Solve the Inequality for x -7x+7<=-56

$- 7 x + 7 \leq - 56$

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

Subtract $7$ from both sides of the inequality.

$- 7 x \leq - 56 - 7$

Subtract $7$ from $- 56$ .

$- 7 x \leq - 63$

Divide each term in $- 7 x \leq - 63$ by $- 7$ and simplify.

Divide each term in $- 7 x \leq - 63$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 x}{- 7} \geq \frac{- 63}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} \geq \frac{- 63}{- 7}$

Divide $x$ by $1$ .

$x \geq \frac{- 63}{- 7}$

Simplify the right side.

Divide $- 63$ by $- 7$ .

$x \geq 9$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 9$

Interval Notation:

$[9, \infty)$

Solve the Inequality for x -7x+7<=-56

Related Questions

Support LCMGCF.com by disabling your adblocker.