Question

2m - 1 > 5 or 5m > -25

Answer 1

m > 3

Explanation:

Solve each inequality separately:

Inequality 1:

`\begin{aligned}2m - 1 & > 5\\\\2m - 1 +1 & > 5+1\\\\2m & > 6\\\\(2m)/(2) & > (6)/(2)\\\\m & > 3\end{aligned}`

Inequality 2:

`\begin{aligned}5m & > -25\\\\(5m)/(5) & > (-25)/(5)\\\\m & > -5\end{aligned}`

So, the solutions for the inequalities are:

• m > 3
• m > -5

To find the combined solution, we need to consider both conditions.

The solution for the combined inequality is the values of m that satisfy both conditions, which means m must be greater than both 3 and -5.

Since m must be greater than both 3 and -5, the solution can be simplified to just m > 3, because any value of m that is greater than 3 will also be greater than -5.

Therefore, the solution is:

`\Large\boxed{\boxed{m > 3}}`