Author 
Topic 

vbravo
Average Member
USA
9 Posts 
Posted  03/24/2013 : 19:08:34

I am not sure how to use a tchart to figure out this problem.
2x – y ≥ 4 Y ≥ 2 X ≥ 6



TchrWill
Advanced Member
USA
79 Posts 
Posted  03/25/2013 : 11:28:52

quote: Originally posted by vbravo
I am not sure how to use a tchart to figure out this problem.
2x – y ≥ 4 Y ≥ 2 X ≥ 6
Is your problem one dealing with TNumbers and/or TTotals?
Might you be able to explain the hieroglyphics? 


vbravo
Average Member
USA
9 Posts 
Posted  03/26/2013 : 03:11:09

I'm not sure why it posted that way, here is the problem again,
Graph the solution set of the system.
2xy4 y2 x6
*What I don't understand is how to use the tchart to figure out the solution, I don't understand what numbers to start on the tchart to figure out the solution. I know it looks like a T and you place the x on the top left and the y on the top right. Then you start to enter numbers below the line under each letter to find the solution, problem is that I don't understand what numbers do I start with?
Thank you for your help, ~Virginia 
Edited by  vbravo on 03/26/2013 03:12:54 


Ultraglide
Advanced Member
Canada
299 Posts 
Posted  03/26/2013 : 18:16:42

First, graph the two inequalities, x6 and y2. Then graph 2xy=4 (just the equality). It may help by rearranging it to y = 2x4. Be careful with this one, remember if you include he inequality, it is now y2x4 Now, decide where the region that satisfies all the inequalities lies remembering that you include the boundary lines. 


vbravo
Average Member
USA
9 Posts 
Posted  03/26/2013 : 20:51:55

Okay now I'm confused. Can you break it down to steps? 


Ultraglide
Advanced Member
Canada
299 Posts 
Posted  03/27/2013 : 10:54:19

With these types of graphs, you get a region. Graph x=6, y=2 and y=2x4. Since you want x6, the region is to the right of the line x=6. Since you want y2, the region is above y=2. Now rearrange 2xy4 to give y2x4, the region is below the line y=2x4. We include the lines because each of the inequalities is ''. What you get is a right triangle. If you want to find the domain, it is greater than or equal to 6 and less than or equal to the point where the line y=2x4 intersects the line y=2. If you want to find the range, it is greater than or equal to 2 and less than or equal to the point where the line y=2x4 intersects the line x=6. 


vbravo
Average Member
USA
9 Posts 
Posted  03/27/2013 : 19:51:09

Thank you, I think I understand it now. ~Virginia 


Ultraglide
Advanced Member
Canada
299 Posts 
Posted  03/28/2013 : 20:03:09

Your result is a right triangle with y=2x4 as the hypotenuse



vbravo
Average Member
USA
9 Posts 
Posted  03/29/2013 : 18:17:54

Thank you 



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