Algebra Examples

$0 > 3 x - 3 - 6$

Step 1

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

$3 x - 3 - 6 < 0$

Step 2

Subtract $6$ from $- 3$ .

$3 x - 9 < 0$

Step 3

Add $9$ to both sides of the inequality.

$3 x < 9$

Step 4

Divide each term in $3 x < 9$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 x < 9$ by $3$ .

$\frac{3 x}{3} < \frac{9}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 x}{3} < \frac{9}{3}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x < \frac{9}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $9$ by $3$ .

$x < 3$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x < 3$

Interval Notation:

$(- \infty, 3)$