Pre-Algebra Examples

$- 6 x > - 9$

Step 1

Divide each term in $- 6 x > - 9$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 x}{- 6} < \frac{- 9}{- 6}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 6 x}{- 6} < \frac{- 9}{- 6}$

Step 2.1.2

Divide $x$ by $1$ .

$x < \frac{- 9}{- 6}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $- 9$ and $- 6$ .

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Step 3.1.1

Factor $- 3$ out of $- 9$ .

$x < \frac{- 3 (3)}{- 6}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $- 3$ out of $- 6$ .

$x < \frac{- 3 \cdot 3}{- 3 \cdot 2}$

Step 3.1.2.2

Cancel the common factor.

$x < \frac{- 3 \cdot 3}{- 3 \cdot 2}$

Step 3.1.2.3

Rewrite the expression.

$x < \frac{3}{2}$

Step 4