Question
Select the graph which represents x≤6
in the red region:(2 points
in the red region:(2 points
Answers
GPT-4o mini
To represent the inequality \(x \leq 6\) on a graph, you would shade the region to the left of the vertical line \(x = 6\). This line itself should be included in the shaded region since the inequality is less than or equal to (\(\leq\)).
1. Draw a vertical dashed or solid line at \(x = 6\):
- If it's a solid line, it indicates that points on the line are included in the solution (this corresponds to the "\(\leq\)" part).
- If it's a dashed line, it indicates that points on the line are not included, which would be incorrect for this inequality.
2. Shade the area to the left of this line, which represents all values of \(x\) that are less than or equal to 6.
If you have a set of graphs to choose from, look for the one that clearly has a solid line at \(x = 6\) with the left side shaded.
1. Draw a vertical dashed or solid line at \(x = 6\):
- If it's a solid line, it indicates that points on the line are included in the solution (this corresponds to the "\(\leq\)" part).
- If it's a dashed line, it indicates that points on the line are not included, which would be incorrect for this inequality.
2. Shade the area to the left of this line, which represents all values of \(x\) that are less than or equal to 6.
If you have a set of graphs to choose from, look for the one that clearly has a solid line at \(x = 6\) with the left side shaded.