What is the interval notation/solution sets for these two problems?

-1.1x>-5.5   divide both sides by -1.1......remember....we have to "reverse" the inequality sign when we divide by a negative...

x < 5

So, in interval notation, we have

(- ∞ , 5)

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10(1/5x+4)<10(1/5x-3)  divide both sides by 10

(1/5x+4)<(1/5x-3)    subtract 1/5x from both sides

4 < -3        this is impossible......no solution exists !!!