Question

-5.1x+1.1<0.1-0.1x

Answer 1

x>1/5

Answer 2

Your goal is to get x alone

Answer 3

First you want to add 0.1x to both sides:
-5.1x+1.1<0.1-0.1x
-5x+1.1<0.1

Answer 4

Then subtract 1.1 from both sides
-5x<-1

Answer 5

Now divide each side by -5
Remember you have to flip your sign because you are dividing by a negative number
x>-1/-5
Two negatives make a positive so your final answer is:
x>1/5