Solve the Inequality for a 5(a-5)>25

$5 (a - 5) > 25$

Divide each term in $5 (a - 5) > 25$ by $5$ and simplify.

Divide each term in $5 (a - 5) > 25$ by $5$ .

$\frac{5 (a - 5)}{5} > \frac{25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (a - 5)}{5} > \frac{25}{5}$

Divide $a - 5$ by $1$ .

$a - 5 > \frac{25}{5}$

Simplify the right side.

Divide $25$ by $5$ .

$a - 5 > 5$

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

Add $5$ to both sides of the inequality.

$a > 5 + 5$

Add $5$ and $5$ .

$a > 10$

The result can be shown in multiple forms.

Inequality Form:

$a > 10$

Interval Notation:

$(10, \infty)$