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January 23rd, 2019, 01:43 PM   #1
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Making a t-chart to plot points

Hello

This is probably fairly simple to learn to do, i just don't know how (clearly, lol). I tried to do this problem and submitted it for my class and it was wrong. My teacher said I did not match the x values up with the y values right. So is there anyway someone could point me in the right direction with this?

Here is the equation:


2x + 3y ≥ 12

Like I have no idea what needs to be used for the x and y values. Seriously no clue. Help will be appreciated.
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January 23rd, 2019, 02:26 PM   #2
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Are x,y real numbers ?
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January 23rd, 2019, 02:29 PM   #3
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Quote:
Originally Posted by idontknow View Post
Are x,y real numbers ?
What do you mean?
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January 23rd, 2019, 02:53 PM   #4
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Quote:
Originally Posted by Indigo28 View Post
Hello

This is probably fairly simple to learn to do, i just don't know how (clearly, lol). I tried to do this problem and submitted it for my class and it was wrong. My teacher said I did not match the x values up with the y values right. So is there anyway someone could point me in the right direction with this?

Here is the equation:


2x + 3y ≥ 12

Like I have no idea what needs to be used for the x and y values. Seriously no clue. Help will be appreciated.
Try this:
$\displaystyle 2x + 3y \geq 12$

$\displaystyle 3y \geq -2x + 12$

$\displaystyle y \geq -\dfrac{2}{3} x + 4$

So plug in some x values:
x = 3 gives y = 2
x = -3 gives y = 5
x = 6 gives y = 0
etc.
(You can provide things like x = 1 by yourself. The only difference is that y is also a fraction. But you can get a graph using these three points and it is easier to calculate with x being a multiple of 3.)

Graph the equation $\displaystyle y = -\dfrac{2}{3} x + 4$. Any points on or above this line is your solution.

-Dan

Addendum: Whole numbers are {1, 2, 3, 4...}, integers are {...-2, -1, 0, 1, 2, ...}, rational numbers are (in no particular order) {-2/3, 1, 6/3, ...}, and real numbers are everything else you've been taught {0, 1, 3.236, -8.09487593476, 3/4, ...}
Thanks from Indigo28

Last edited by topsquark; January 23rd, 2019 at 02:56 PM.
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January 23rd, 2019, 05:13 PM   #5
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Thank you, this is super helpful!!
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