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Mathematics 7 Online
OpenStudy (henrietepurina):

I need help checking my work.... Fan + Medal

OpenStudy (henrietepurina):

@charliealbert @Hero @ranga

OpenStudy (henrietepurina):

A system of linear inequalities is shown below. x - y > 3 y + x ≤ 2 Describe the steps to graph the solution set to the system of inequalities.

OpenStudy (henrietepurina):

1st- you graph x - y > 3 on a graph 2nd- you also graph y + x =< 2 3rd- you look at the space which they overlap 4th- that space where they overlap is the solution The solution is in this case (2.5,-0.5) going down mirror wise with a slope of 1 or other way which would be -1 It would look something like this . / \ / \ / \ / \

OpenStudy (anonymous):

Seems like you have the right idea

OpenStudy (henrietepurina):

Yay, what do you think @ranga

OpenStudy (ranga):

Going through it...

OpenStudy (anonymous):

http://www.wolframalpha.com/input/?i=x+-+y+%3E+3%2C+y+%2B+x+%E2%89%A4+2 see if you can check that out

OpenStudy (ranga):

Yes, you are on the right track. The solution would be a region and not just a point. When we graph it we usually graph an EQUALITY first and then shade the appropriate region. So you will graph x - y = 3 first and then decide whether the region above the graph or below the graph should be shaded for the inequality x - y > 3. Since this is a "greater than sign" and not a "greater than or equal sign", the graph of the line should be dotted indicating the points on this line are NOT included in the solution. ...

OpenStudy (ranga):

Then you plot the next EQUALITY first: y+x = 2. Then you decide whether the region above the graph or below the graph should be shaded for the inequality y + x <= 2. Since this is a "less than or equal to sign" and not just a "less than sign", the graph of the line should be continuous (not dotted) indicating the points on this line ARE included in the solution. The final solution will be the common region shared by the above two solutions with points on the first dotted line not included in the solution and points on the bold second line included in the solution.

OpenStudy (henrietepurina):

so if i just posted *that* (my current work) would it be good? not saying that yours was bad :)

OpenStudy (ranga):

Your solution is good but it does not include some subtle details. For example, it is not clear whether points on the first line are part of the solution or not. That is why mentioning the dotted line is important http://prntscr.com/3pha3t

OpenStudy (henrietepurina):

What if I give my teacher the link?

OpenStudy (ranga):

If you scroll down on the link does it show my name or something that would raise suspicion? If necessary you can go to www.desmos.com and type the inequalities on the left as shown in the link and you will get the same graphs. The solution is the dark triangle at the bottom with points on the left line included in the solution and points on the right line excluded from the solution.

OpenStudy (henrietepurina):

yeah I know and i will check to see....

OpenStudy (henrietepurina):

Nope, nothing about you :)

OpenStudy (ranga):

Okay, because when I click on the link it shows my Facebook profile pic at the bottom.

OpenStudy (henrietepurina):

Yeah, but when I do it it shows mine so were fine :)

OpenStudy (ranga):

Alright. :)

OpenStudy (henrietepurina):

thanks a gazilion times, i got to go to sleep now, its 11:25 pm

OpenStudy (ranga):

You are welcome.

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