Solve for v -40-6v>=-10

$- 40 - 6 v \geq - 10$

Step 1

Move all terms not containing $v$ to the right side of the inequality.

Add $40$ to both sides of the inequality.

$- 6 v \geq - 10 + 40$

Add $- 10$ and $40$ .

$- 6 v \geq 30$

Step 2

Divide each term in $- 6 v \geq 30$ by $- 6$ and simplify.

Divide each term in $- 6 v \geq 30$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 v}{- 6} \leq \frac{30}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 v}{- 6} \leq \frac{30}{- 6}$

Divide $v$ by $1$ .

$v \leq \frac{30}{- 6}$

Simplify the right side.

Divide $30$ by $- 6$ .

$v \leq - 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$v \leq - 5$

Interval Notation:

$(- \infty, - 5]$

Solve for v -40-6v>=-10

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