Solve the Inequality for n (n+3)/2>-2

$\frac{n + 3}{2} > - 2$

Multiply both sides by $2$ .

$\frac{n + 3}{2} \cdot 2 > - 2 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{n + 3}{2} \cdot 2 > - 2 \cdot 2$

Rewrite the expression.

$n + 3 > - 2 \cdot 2$

Simplify the right side.

Multiply $- 2$ by $2$ .

$n + 3 > - 4$

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

Subtract $3$ from both sides of the inequality.

$n > - 4 - 3$

Subtract $3$ from $- 4$ .

$n > - 7$

The result can be shown in multiple forms.

Inequality Form:

$n > - 7$

Interval Notation:

$(- 7, \infty)$