Solve for n 77<=5+8n

$77 \leq 5 + 8 n$

Step 1

Rewrite so $n$ is on the left side of the inequality.

$5 + 8 n \geq 77$

Step 2

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

Subtract $5$ from both sides of the inequality.

$8 n \geq 77 - 5$

Subtract $5$ from $77$ .

$8 n \geq 72$

Step 3

Divide each term in $8 n \geq 72$ by $8$ and simplify.

Divide each term in $8 n \geq 72$ by $8$ .

$\frac{8 n}{8} \geq \frac{72}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 n}{8} \geq \frac{72}{8}$

Divide $n$ by $1$ .

$n \geq \frac{72}{8}$

Simplify the right side.

Divide $72$ by $8$ .

$n \geq 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n \geq 9$

Interval Notation:

$[9, \infty)$