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: (5 points)

y > one half x + 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 origin is not included in the shaded region and the shaded area is above the line.

Explanation:

The first option is correct one:

• The origin is not included in the shaded region and the shaded area is above the line.

The shade region is above the line because the function is increasing, and the origin is not included because the y- intercept is positive number

See attached