Today we covered section 7.5 and 7.6 from the book.
we talked abou the special cases for a system of linear equations: systems with no solution and systems with infinite solutions, and how they relate in graphing. That is, if a system has no solution, then it contains parallel lines (which dont intercept); if a system has infinite solutions, they it contains identical lines (they overlap).
We then talked about graphing for a linear inequality. From there, we talked about graphing for a system of linear inequalities, where the solution is normal a region. We did exercises in the classroom on how to graph and identify the solution region.
Lastly, we did the reverse problem: given a region, find the corresponding system of linear inequalities: frst find the lines that bound the region, you should find that many number of linear inequalities. Then for every the line, use the solution region information to help you determine the the inequality sign to use.
I found some students are still not familiar with how to use the given two points to come up with the linear equation for the line. You will need to work on it.
For homework, get it here: http://blog.newtonchineseschool.org/wangweidong/files/2011/09/Math7_Fall_HW_L3.pdf