Solve the Inequality for x -6x>=18

$- 6 x \geq 18$

Step 1

Divide each term in $- 6 x \geq 18$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} \leq \frac{18}{- 6}$

Step 2

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} \leq \frac{18}{- 6}$

Divide $x$ by $1$ .

$x \leq \frac{18}{- 6}$

Step 3

Simplify the right side.

Divide $18$ by $- 6$ .

$x \leq - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 3$

Interval Notation:

$(- \infty, - 3]$

Solve the Inequality for x -6x>=18

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