Solve the Inequality for n 4<1+n/7

$4 < 1 + \frac{n}{7}$

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

$1 + \frac{n}{7} > 4$

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

Subtract $1$ from both sides of the inequality.

$\frac{n}{7} > 4 - 1$

Subtract $1$ from $4$ .

$\frac{n}{7} > 3$

Multiply both sides by $7$ .

$\frac{n}{7} \cdot 7 > 3 \cdot 7$

Simplify.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{n}{7} \cdot 7 > 3 \cdot 7$

Rewrite the expression.

$n > 3 \cdot 7$

Simplify the right side.

Multiply $3$ by $7$ .

$n > 21$

The result can be shown in multiple forms.

Inequality Form:

$n > 21$

Interval Notation:

$(21, \infty)$