Solve for x -1/6x>12

$- \frac{1}{6} x > 12$

Multiply each term in $- \frac{1}{6} x > 12$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{1}{6} x \cdot - 6 < 12 \cdot - 6$

Simplify $- \frac{1}{6} x \cdot - 6$ .

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Combine $x$ and $\frac{1}{6}$ .

$- \frac{x}{6} \cdot - 6 < 12 \cdot - 6$

Cancel the common factor of $6$ .

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Move the leading negative in $- \frac{x}{6}$ into the numerator.

$\frac{- x}{6} \cdot - 6 < 12 \cdot - 6$

Factor $6$ out of $- 6$ .

$\frac{- x}{6} \cdot (6 (- 1)) < 12 \cdot - 6$

Cancel the common factor.

$\frac{- x}{6} \cdot (6 \cdot - 1) < 12 \cdot - 6$

Rewrite the expression.

$- x \cdot - 1 < 12 \cdot - 6$

Multiply.

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Multiply $- 1$ by $- 1$ .

$1 x < 12 \cdot - 6$

Multiply $x$ by $1$ .

$x < 12 \cdot - 6$

Multiply $12$ by $- 6$ .

$x < - 72$

The result can be shown in multiple forms.

Inequality Form:

$x < - 72$

Interval Notation:

$(- \infty, - 72)$

Solve for x -1/6x>12

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