Question

Identify the number of solutions. Y< -1/3x+5, 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 1

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

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.