Question

How do you solve `-9>=2/5m+7`?

Answer 1

See the solution process below:

Explanation:

Step 1) Subtract `color(red)(7)` from each side of the inequality to isolate the `m` term while keeping the inequality balanced:

`-9 - color(red)(7) >= 2/5m + 7 - color(red)(7)`

`-16 >= 2/5m + 0`

`-16 >= 2/5m`

Step 2) Multiply each side of the inequality by `color(red)(5)/color(blue)(2)` to solve for `m` while keeping the inequality balanced:

`color(red)(5)/color(blue)(2) * -16 >= color(red)(5)/color(blue)(2) * 2/5m`

`-80/color(blue)(2) >= cancel(color(red)(5))/cancel(color(blue)(2)) * color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(5)))m`

`-40 >= m`

To state the solution in terms of `m` we can reverse or "flip" the entire inequality:

`m <= -40`

Answer 2

Solution : `m <= -40 or (-oo,-40]`

Explanation:

`-9 >= 2/5 m +7 or -9-7 >= 2/5 m or 5/2*(-16) >= m or -40 >=m or m<= -40`
Solution : `m <= -40 or (-oo,-40]` [Ans]