Question

How do you solve `37<7-10w`?

Answer 1

`-3 > w` OR `w < -3`, which mean the same thing.

Explanation:

`37 < 7 - 10w`

First subtract `7` from both sides to isolate the variable:

`37 color(white)x color(red)(- 7) < cancel(7 color(white)x color(red)(- 7)) - 10w`

`30 < - 10w`

Now divide both sides by `10`:

`30/10 < - cancel10/cancel10w`

`3 < -w`

Variables shouldn't be negative, so multiply both sides by `-1` to change it's sign, and flip the < sign to a > sign.

`3(-1) color(red)< -w(-1)`

`-3 color(red)> w`

You can also write it as: `w < -3`, designating that `w` is still less than `-3`. They mean the same thing.

Answer 2

`w<-3`

Explanation:

Solve:

`37<7-10w`

Subtract `7` from both sides.

`37-7<-10w`

`30<-10w`

Divide both sides by `-10`. This will reverse the inequality.

`-30/10>w`

`-3>w`

Switch sides.

`w<-3`