Question

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

Answer 1

`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:

`-2m < 5 - m +1`

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

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

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

`rarr m > -6`