# How do you solve #-5 > -5-3w#?

##### 1 Answer

Sep 1, 2015

#### Explanation:

Right from the start, you can say that you need **positive** because any negative value of **positive**, which in turn will make the right-hand side of the inequality *bigger* than

SInce you need the left-hand side of the inequality to be strictly greater than the right-hand side, you cannot have

#-5 > -5 - 3 * 0#

#-5color(red)(cancel(color(black)(>)))-5#

So, the solution set for this inequality is

#-5 > -5 - 3w#

#-color(red)(cancel(color(black)(5))) + color(red)(cancel(color(black)(5))) > -3w#

#0 > -3w implies w > 0#