Solve the Inequality for x -4x<=12

$- 4 x \leq 12$

Step 1

Divide each term in $- 4 x \leq 12$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} \geq \frac{12}{- 4}$

Step 2

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} \geq \frac{12}{- 4}$

Divide $x$ by $1$ .

$x \geq \frac{12}{- 4}$

Step 3

Simplify the right side.

Divide $12$ by $- 4$ .

$x \geq - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 3$

Interval Notation:

$[- 3, \infty)$

Solve the Inequality for x -4x<=12

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