Solve the System of Inequalities 2m-1>=5 or 5m>-25

$2 m - 1 \geq 5$ or $5 m > - 25$

Simplify the first inequality.

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

Add $1$ to both sides of the inequality.

$2 m \geq 5 + 1$ or $5 m > - 25$

Add $5$ and $1$ .

$2 m \geq 6$ or $5 m > - 25$

Divide each term in $2 m \geq 6$ by $2$ and simplify.

Divide each term in $2 m \geq 6$ by $2$ .

$\frac{2 m}{2} \geq \frac{6}{2}$ or $5 m > - 25$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 m}{2} \geq \frac{6}{2}$ or $5 m > - 25$

Divide $m$ by $1$ .

$m \geq \frac{6}{2}$ or $5 m > - 25$

Simplify the right side.

Divide $6$ by $2$ .

$m \geq 3$ or $5 m > - 25$

Divide each term in $5 m > - 25$ by $5$ and simplify.

Divide each term in $5 m > - 25$ by $5$ .

$m \geq 3$ or $\frac{5 m}{5} > \frac{- 25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$m \geq 3$ or $\frac{5 m}{5} > \frac{- 25}{5}$

Divide $m$ by $1$ .

$m \geq 3$ or $m > \frac{- 25}{5}$

Simplify the right side.

Divide $- 25$ by $5$ .

$m \geq 3$ or $m > - 5$

The union consists of all of the elements that are contained in each interval.

$m > - 5$

The result can be shown in multiple forms.

Inequality Form:

$m > - 5$

Interval Notation:

$(- 5, \infty)$