Question

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:

y > three fifthsx − 2
The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.

Answer 1

The correct answer is C, if you want to prove it you only have to replace the x and the y with 0 if the result is true, the origin is part of the shaded region

Answer 2

option C is correct.

Explanation:

We are given the inequality as y>(3/5)x-2

which could also be written as: (3/5)x-y<2

based on the graph attached to the answer we could clearly see that the origin is included in the shaded region and also the shade is above the line
`(3)/(5) x-y=2`, also the line is dotted since the inequality is strict.

hence, the origin is included in the shaded area and the shaded area is above the line.

Hence, option C is correct.