Question

Which statements are true about the graph of the system of linear inequalities? Select two options.

y > 3x – 4

y < One-halfx + 1

The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < One-halfx + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.
There are no solutions to the system.
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

Answer 1

The first and second statements are true.

- y > 3x − 4 is a strict inequality → dashed line, shading above the line.
- y < (1/2)x + 1 is a strict inequality → dashed line, shading below the line.