Solve the Inequality for v 4v>=9v-40

$4 v \geq 9 v - 40$

Step 1

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

Subtract $9 v$ from both sides of the inequality.

$4 v - 9 v \geq - 40$

Subtract $9 v$ from $4 v$ .

$- 5 v \geq - 40$

Step 2

Divide each term in $- 5 v \geq - 40$ by $- 5$ and simplify.

Divide each term in $- 5 v \geq - 40$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 v}{- 5} \leq \frac{- 40}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 v}{- 5} \leq \frac{- 40}{- 5}$

Divide $v$ by $1$ .

$v \leq \frac{- 40}{- 5}$

Simplify the right side.

Divide $- 40$ by $- 5$ .

$v \leq 8$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$v \leq 8$

Interval Notation:

$(- \infty, 8]$

Solve the Inequality for v 4v>=9v-40

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