# How do you solve  - 2m< 5 - m + 1?

Feb 7, 2016

$m > - 6$

#### Explanation:

Since you can add or subtract the same amount to either side of an inequality without effecting the validity of the inequality:

$- 2 m < 5 - m + 1$

after combining the constants on the right side:
$- 2 m < 6 - m$

adding $2 m$ to both sides
$0 < 6 + m$

subtracting $6$ from both sides:
$- 6 < m$

$\rightarrow m > - 6$