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

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Answer 1 · 2018-05-26T01:07:37

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

#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 · 2018-05-26T01:16:23

#w<-3#

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#