Solve for n 1/2n+3<5

$\frac{1}{2} n + 3 < 5$

Combine $\frac{1}{2}$ and $n$ .

$\frac{n}{2} + 3 < 5$

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

Subtract $3$ from both sides of the inequality.

$\frac{n}{2} < 5 - 3$

Subtract $3$ from $5$ .

$\frac{n}{2} < 2$

Multiply both sides by $2$ .

$\frac{n}{2} \cdot 2 < 2 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{n}{2} \cdot 2 < 2 \cdot 2$

Rewrite the expression.

$n < 2 \cdot 2$

Simplify the right side.

Multiply $2$ by $2$ .

$n < 4$

The result can be shown in multiple forms.

Inequality Form:

$n < 4$

Interval Notation:

$(- \infty, 4)$