Solve the Inequality for x 12-6x>24

$12 - 6 x > 24$

Step 1

Move all terms not containing $x$ to the right side of the inequality.

Subtract $12$ from both sides of the inequality.

$- 6 x > 24 - 12$

Subtract $12$ from $24$ .

$- 6 x > 12$

Step 2

Divide each term in $- 6 x > 12$ by $- 6$ and simplify.

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

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

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $12$ by $- 6$ .

$x < - 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 2$

Interval Notation:

$(- \infty, - 2)$

Solve the Inequality for x 12-6x>24

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