How do you solve 37<7-10w?

2 Answers
May 26, 2018

-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.

May 26, 2018

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