# Solve the inequality and specify any excluded values? #-2 < (3x+1)/(x-3)#

##### 1 Answer

#### Explanation:

First, keep in mind that you need

#x - 3 !=0 implies x !=3#

since

Now, multiply both sides by

#-2(x-3) < 3x+1#

Next, expand the brackets

#-2x+6<3x+1#

Don't forget your rules for multiplying negatives!

Next, do some rearranging to get the

#6 < 5x+1#

#5 < 5x#

Therefore,

#1 < x " "# or#" "x > 1#

I hope this helps.