Which system of inequalities does the graph represents?
Cannot graph on these posts.
To determine the system of inequalities represented by a graph, you need to analyze the graph and identify the regions that are shaded or unshaded. Each shaded region corresponds to an inequality in the system.
Here are the steps to determine the system of inequalities:
1. Identify the lines on the graph: Look for the straight lines that are part of the graph. Note the slopes and y-intercepts of these lines.
2. Determine the shading: Observe whether certain regions are shaded or unshaded. Shaded regions indicate solutions that satisfy the inequality.
3. Analyze the shading and line placement: Determine the inequality associated with each shaded region by considering the line placement in relation to the shaded region.
4. Write the inequalities: Based on the observations made in steps 1-3, write down the inequalities that correspond to each shaded region.
For example, if the graph shows a shaded region above a line, the inequality associated with it would be y > mx + b, where m is the slope and b is the y-intercept. If the graph shows a shaded region below a line, the inequality would be y < mx + b.
By following these steps, you can determine the system of inequalities represented by the graph.