Identify the number of solutions. Y - 1/3x-1.

A. Infinate number of solutions (the top part of graph isn't shaded but middle and bottom are).

B. Infinate number of solutions. (top and middle are shaded but not bottom part

C. No solution. (top shaded. Middle not. Bottom shaded.

D. Infinate number of solutions. (all 3 parts of graph is shaded

Answer: C. No solution. (top shaded. Middle not. Bottom shaded.

Step-by-step explanation:

Given inequalities

y< - 1/3x+5 and

y> - 1/3x-1.

If we draw graph for y< - 1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.

Now, if we draw graph for second inequality y> - 1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater than > symbol there.

Now, we can see that slopes of both dotted lines are same that is - 1/3.

So, there would not be any common shaded region.

Therefore, there would not by any solution of the system of inequalities.

And correct option is C option.

C. No solution. (top shaded. Middle not. Bottom shaded.