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 t-chart with problem
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vbravo
Average Member

USA
9 Posts

Posted - 03/24/2013 :  19:08:34  Show Profile  Reply with Quote
I am not sure how to use a t-chart to figure out this problem.

-2x – y ≥ 4
Y ≥ -2
X ≥ -6

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TchrWill
Advanced Member

USA
80 Posts

Posted - 03/25/2013 :  11:28:52  Show Profile  Reply with Quote
quote:
Originally posted by vbravo

I am not sure how to use a t-chart to figure out this problem.

-2x – y ≥ 4
Y ≥ -2
X ≥ -6





Is your problem one dealing with T-Numbers and/or T-Totals?

Might you be able to explain the hieroglyphics?
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vbravo
Average Member

USA
9 Posts

Posted - 03/26/2013 :  03:11:09  Show Profile  Reply with Quote
I'm not sure why it posted that way, here is the problem again,

Graph the solution set of the system.


-2x-y4
y-2
x-6

*What I don't understand is how to use the t-chart to figure out the solution, I don't understand what numbers to start on the t-chart 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
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Ultraglide
Advanced Member

Canada
299 Posts

Posted - 03/26/2013 :  18:16:42  Show Profile  Reply with Quote
First, graph the two inequalities, x-6 and y-2.
Then graph -2x-y=4 (just the equality). It may help by rearranging it to y = -2x-4. Be careful with this one, remember if you include he inequality, it is now y-2x-4
Now, decide where the region that satisfies all the inequalities lies remembering that you include the boundary lines.
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vbravo
Average Member

USA
9 Posts

Posted - 03/26/2013 :  20:51:55  Show Profile  Reply with Quote
Okay now I'm confused. Can you break it down to steps?
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Ultraglide
Advanced Member

Canada
299 Posts

Posted - 03/27/2013 :  10:54:19  Show Profile  Reply with Quote
With these types of graphs, you get a region.
Graph x=-6, y=-2 and y=-2x-4.
Since you want x-6, the region is to the right of the line x=-6.
Since you want y-2, the region is above y=-2.
Now rearrange -2x-y4 to give y-2x-4, the region is below the line y=-2x-4.
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=-2x-4 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=-2x-4 intersects the line x=-6.
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vbravo
Average Member

USA
9 Posts

Posted - 03/27/2013 :  19:51:09  Show Profile  Reply with Quote
Thank you, I think I understand it now.
~Virginia
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Ultraglide
Advanced Member

Canada
299 Posts

Posted - 03/28/2013 :  20:03:09  Show Profile  Reply with Quote
Your result is a right triangle with y=-2x-4 as the hypotenuse
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vbravo
Average Member

USA
9 Posts

Posted - 03/29/2013 :  18:17:54  Show Profile  Reply with Quote
Thank you
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