Solve for n 5n-10>25

$5 n - 10 > 25$

Step 1

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

Add $10$ to both sides of the inequality.

$5 n > 25 + 10$

Add $25$ and $10$ .

$5 n > 35$

Step 2

Divide each term in $5 n > 35$ by $5$ and simplify.

Divide each term in $5 n > 35$ by $5$ .

$\frac{5 n}{5} > \frac{35}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 n}{5} > \frac{35}{5}$

Divide $n$ by $1$ .

$n > \frac{35}{5}$

Simplify the right side.

Divide $35$ by $5$ .

$n > 7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$n > 7$

Interval Notation:

$(7, \infty)$