Question

PLEASE HELP!!! Which of the following systems of inequalities would produce the region indicated on the graph below? A. y>x+1: y<_10:x>_0B.y>_x+1:y<10:x>_0C.y>_x+1:y>_10:x>_0D.y_0

Answer 1

Answer: A

The overall system of inequalities for the region is;

`y>x+1\colon y\leq10\colon x\ge0`

Explnation:

Given the Graph in the attached image.

We want to find the system of inequalities that would produce the region indicated on the graph.

The region shown is bordered by three lines.

1. the vertical line;

`x=0`

so, the region follows;

`x\ge0`

2. at the top, the horizontal line;

`y=10`

since the region is below the horizontal line, then it follows the inequality;

`y\leq10`

3. Then lastly by a diagonal broken line;

`y=x+1`

since the line is broken and the region is above the broken line, then it follows the inequality;

`y>x+1`

Then, the overall system of inequalities for the region is;

`y>x+1\colon y\leq10\colon x\ge0`