Question

Use the image to answer the question.

A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 dashed lines with arrows at both ends are plotted, and various regions of the graph are marked.

Select a true statement to describe the graphed system of inequalities.

(1 point)
Responses

The system has two solutions.
The system has two solutions.

The system has one solution.
The system has one solution.

The system has infinite solutions.
The system has infinite solutions.

The system has no solutions.

Answer 1

I can't see the image you mention. Could you either upload the picture or describe which regions are shaded relative to each dashed line (for each line, say whether the shading is above/right or below/left of it)?

If you prefer a quick guide to decide yourself:
- If the shaded regions overlap in an area (a region with nonzero area), the system has infinite solutions.
- If the shaded regions don't overlap at all, the system has no solutions.
- If the shaded regions overlap at exactly one point (the lines cross and only that single point is shaded), the system has one solution.
- Two solutions would be extremely unusual for a system of two linear inequalities (that would require the overlap to be exactly two points), so you can rule that out in most typical graphs.

Send the image or a short description (which side of each dashed line is shaded) and I’ll pick the correct choice.