SOLUTION: I teach Algebra 2. We are solving systems of inequalities by graphing. I was intrigued to notice that there appeared to be a "hole" in the answer key graph where one inequality (in

Question 1103650: I teach Algebra 2. We are solving systems of inequalities by graphing. I was intrigued to notice that there appeared to be a "hole" in the answer key graph where one inequality (inclusive) intersected with another inequality (not inclusive) - e.g. where an equation with "less than or equal to" intersected with one that was "less than." I had never noticed "holes" in graphing solutions of inequalities before. This brought up the question: is the point of intersection of the two linear graphs - one dashed and the other solid - included in the solution or not? When we solve the system, I understand that we are looking for the "intersection" rather than the "union" of the system. That suggests that any solution point must satisfy all constraints at once. The point of intersection of the two lines would satisfy only one of the two inequalities, since one of the lines is not inclusive. So, should we teach students to insert a "hole" at that point of intersection?
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.
The best step from your side would be posting a concrete example.

I mean - a concrete system of inequalities.

Or two or three, if you need.

Start posting ONE system.

RELATED QUESTIONS
can I have some step by step examples of how to solve linear systems using elimination... (answered by mananth)

I am an old student back in college taking Beginning algebra. We are doing systems of... (answered by mukhopadhyay)

I have gone on-line and found some free calculators for graphing and have been able to... (answered by stanbon)

I GOT HOMEWORK FROM ALGEBRA BUT I DON'T GET IT AT ALL WE ARE LEARNING ON "SOLVING SYSTEMS (answered by jmg)

I need some help with these graph problems. I would appreciate some help with solving... (answered by jim_thompson5910)

This is a problem in my algebra 1 homework. Having problem figuring it out. We are... (answered by MathLover1)

I need help on solving inequalities and graphing and that sign is suppose to be greater... (answered by Alan3354)

I was using your site to teach my son algebra, and we noticed an incorrect answer that we (answered by alka,Earlsdon)

i need help..i cant to algebra 2 at all. right now we are solving linear inequalities. i... (answered by Alan3354)