Which inequality matches the graph?(1 point)

Question

Responses

y>x+4y is greater than x plus 4

y≥x+4y≥x+4

y<x+4y<x+4

y≤x+4

Answer 1

To determine which inequality matches the graph, it's important to know a few key points about how inequalities are represented graphically:

1. "y > x + 4" represents a region above the line \( y = x + 4 \), and the line itself is dashed because it does not include points on the line.

2. "y ≥ x + 4" represents the same region above the line \( y = x + 4 \), but includes the line itself (solid line).

3. "y < x + 4" represents a region below the line \( y = x + 4 \), with a dashed line.

4. "y ≤ x + 4" represents the region below the line, but includes the line itself (solid line).

To select the correct inequality, you need to look at whether the line is dashed or solid and whether the region of interest is above or below the line.

If you provide a description of the graph or image (e.g., whether the line is dashed/solid and where the shading is), I can help pinpoint the correct inequality!