Solve for x -12>=24x

$- 12 \geq 24 x$

Rewrite so $x$ is on the left side of the inequality.

$24 x \leq - 12$

Divide each term by $24$ and simplify.

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Divide each term in $24 x \leq - 12$ by $24$ .

$\frac{24 x}{24} \leq \frac{- 12}{24}$

Cancel the common factor of $24$ .

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Cancel the common factor.

$\frac{24 x}{24} \leq \frac{- 12}{24}$

Divide $x$ by $1$ .

$x \leq \frac{- 12}{24}$

Simplify $\frac{- 12}{24}$ .

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Cancel the common factor of $- 12$ and $24$ .

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Factor $12$ out of $- 12$ .

$x \leq \frac{12 (- 1)}{24}$

Cancel the common factors.

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Factor $12$ out of $24$ .

$x \leq \frac{12 \cdot - 1}{12 \cdot 2}$

Cancel the common factor.

$x \leq \frac{12 \cdot - 1}{12 \cdot 2}$

Rewrite the expression.

$x \leq \frac{- 1}{2}$

Move the negative in front of the fraction.

$x \leq - \frac{1}{2}$

The result can be shown in multiple forms.

Inequality Form:

$x \leq - \frac{1}{2}$

Interval Notation:

$(- \infty, - \frac{1}{2}]$

Solve for x -12>=24x

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