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January 23rd, 2019, 01:43 PM  #1 
Senior Member Joined: Jan 2017 From: US Posts: 120 Thanks: 6  Making a tchart 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. 
January 23rd, 2019, 02:26 PM  #2 
Senior Member Joined: Dec 2015 From: somewhere Posts: 636 Thanks: 91 
Are x,y real numbers ?

January 23rd, 2019, 02:29 PM  #3 
Senior Member Joined: Jan 2017 From: US Posts: 120 Thanks: 6  
January 23rd, 2019, 02:53 PM  #4  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
$\displaystyle 2x + 3y \geq 12$ $\displaystyle 3y \geq 2x + 12$ $\displaystyle y \geq \dfrac{2}{3} x + 4$ 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, ...} Last edited by topsquark; January 23rd, 2019 at 02:56 PM.  
January 23rd, 2019, 05:13 PM  #5 
Senior Member Joined: Jan 2017 From: US Posts: 120 Thanks: 6 
Thank you, this is super helpful!!


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making, plot, points, tchart 
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