Solve for x 9x-6<3x

$9 x - 6 < 3 x$

Step 1

Move all terms containing $x$ to the left side of the inequality.

Subtract $3 x$ from both sides of the inequality.

$9 x - 6 - 3 x < 0$

Subtract $3 x$ from $9 x$ .

$6 x - 6 < 0$

Step 2

Add $6$ to both sides of the inequality.

$6 x < 6$

Step 3

Divide each term in $6 x < 6$ by $6$ and simplify.

Divide each term in $6 x < 6$ by $6$ .

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $6$ by $6$ .

$x < 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 1$

Interval Notation:

$(- \infty, 1)$