Solve the Inequality for n 12n>135+4.50n

$12 n > 135 + 4.5 n$

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

Subtract $4.5 n$ from both sides of the inequality.

$12 n - 4.5 n > 135$

Subtract $4.5 n$ from $12 n$ .

$7.5 n > 135$

Divide each term in $7.5 n > 135$ by $7.5$ and simplify.

Divide each term in $7.5 n > 135$ by $7.5$ .

$\frac{7.5 n}{7.5} > \frac{135}{7.5}$

Simplify the left side.

Cancel the common factor of $7.5$ .

Cancel the common factor.

$\frac{7.5 n}{7.5} > \frac{135}{7.5}$

Divide $n$ by $1$ .

$n > \frac{135}{7.5}$

Simplify the right side.

Divide $135$ by $7.5$ .

$n > 18$

The result can be shown in multiple forms.

Inequality Form:

$n > 18$

Interval Notation:

$(18, \infty)$