Solve for x 9-x<=17

$9 - x \leq 17$

Step 1

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

Subtract $9$ from both sides of the inequality.

$- x \leq 17 - 9$

Subtract $9$ from $17$ .

$- x \leq 8$

Step 2

Divide each term in $- x \leq 8$ by $- 1$ and simplify.

Divide each term in $- x \leq 8$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} \geq \frac{8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} \geq \frac{8}{- 1}$

Divide $x$ by $1$ .

$x \geq \frac{8}{- 1}$

Simplify the right side.

Divide $8$ by $- 1$ .

$x \geq - 8$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 8$

Interval Notation:

$[- 8, \infty)$

Solve for x 9-x<=17

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