Solve for x -3x<12

$- 3 x < 12$

Step 1

Divide each term in $- 3 x < 12$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} > \frac{12}{- 3}$

Step 2

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} > \frac{12}{- 3}$

Divide $x$ by $1$ .

$x > \frac{12}{- 3}$

Step 3

Simplify the right side.

Divide $12$ by $- 3$ .

$x > - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 4$

Interval Notation:

$(- 4, \infty)$

Solve for x -3x<12

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