Solve the Inequality for a (a+4)/2>16

$\frac{a + 4}{2} > 16$

Step 1

Multiply both sides by $2$ .

$\frac{a + 4}{2} \cdot 2 > 16 \cdot 2$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{a + 4}{2} \cdot 2 > 16 \cdot 2$

Rewrite the expression.

$a + 4 > 16 \cdot 2$

Simplify the right side.

Multiply $16$ by $2$ .

$a + 4 > 32$

Step 3

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

Subtract $4$ from both sides of the inequality.

$a > 32 - 4$

Subtract $4$ from $32$ .

$a > 28$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$a > 28$

Interval Notation:

$(28, \infty)$