Algebra Examples

$- 6 v > - 72$

Step 1

Divide each term in $- 6 v > - 72$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 v}{- 6} < \frac{- 72}{- 6}$

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.

$\frac{- 6 v}{- 6} < \frac{- 72}{- 6}$

Step 2.1.2

Divide $v$ by $1$ .

$v < \frac{- 72}{- 6}$

Step 3

Simplify the right side.

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Step 3.1

Divide $- 72$ by $- 6$ .

$v < 12$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$v < 12$

Interval Notation:

$(- \infty, 12)$