SOLUTION: Hello, I'm having problems with these 3 questions about intersections. We are going through this in class at the moment, but I didn't understand anything and our teacher thinks

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Question 701010: Hello,
I'm having problems with these 3 questions about intersections. We are going through this in class at the moment, but I didn't understand anything and our teacher thinks we did not listen if we ask questions... it's all very weird but anyway here are the problems. :
3. Compare the possible intersections of two lines with possible intersections of the graphs of two linear inequalities. What do you notice?

4. Find the possible intersections of more than two lines. Support each possibility with a diagram or an explanation.

5. Find the possible intersections for the graphs of more than two linear inequalities. Support each possibility with a diagram or an explanation.

could you please help me out here? and explain too? please.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
3. Compare the possible intersections of two lines with possible intersections of the graphs of two linear inequalities. What do you notice?
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Draw the pictures to see the answers.
1. they intersect at one point
2. they are parallel and do not intersect
3. they lie on top of one another so have an infinite number of intersections.
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4. Find the possible intersections of more than two lines. Support each possibility with a diagram or an explanation.
Try drawings with 3 lines.
1. all meet at one point
2. 2 lines are parallel and 1 intersects both: 2 points of intersection
3. 3 lines are parallel so no points of intersection
4. all 3 lines lie on one another: infinite # of intersections
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etc.
Cheers,
Stan H.
5. Find the possible intersections for the graphs of more than two linear inequalities.