Solve the Inequality for v 3v-8>22

$3 v - 8 > 22$

Step 1

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

Add $8$ to both sides of the inequality.

$3 v > 22 + 8$

Add $22$ and $8$ .

$3 v > 30$

Step 2

Divide each term in $3 v > 30$ by $3$ and simplify.

Divide each term in $3 v > 30$ by $3$ .

$\frac{3 v}{3} > \frac{30}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 v}{3} > \frac{30}{3}$

Divide $v$ by $1$ .

$v > \frac{30}{3}$

Simplify the right side.

Divide $30$ by $3$ .

$v > 10$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$v > 10$

Interval Notation:

$(10, \infty)$