Solve the Inequality for x -6x<=24

$- 6 x \leq 24$

Step 1

Divide each term in $- 6 x \leq 24$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} \geq \frac{24}{- 6}$

Step 2

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} \geq \frac{24}{- 6}$

Divide $x$ by $1$ .

$x \geq \frac{24}{- 6}$

Step 3

Simplify the right side.

Divide $24$ by $- 6$ .

$x \geq - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 4$

Interval Notation:

$[- 4, \infty)$

Solve the Inequality for x -6x<=24

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