SOLUTION: graph each of the following inequalities on the cartesian plane
2x + y <_ -5
How do I know what number to plug in? Can I used any set of numbers? Do I have to make the statemen
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-> SOLUTION: graph each of the following inequalities on the cartesian plane
2x + y <_ -5
How do I know what number to plug in? Can I used any set of numbers? Do I have to make the statemen
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Question 112877: graph each of the following inequalities on the cartesian plane
2x + y <_ -5
How do I know what number to plug in? Can I used any set of numbers? Do I have to make the statement true then graph it? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! graph each of the following inequalities on the cartesian plane
2x + y <_ -5
:
First put it in the general "y="
y <= -2x - 5
:
You can choose the value for x to find y, A good start is x = -3
y = -2(-3) -5
y = +6 - 5
y = +1
:
Then x = +3
y = -2(3) - 5
y = -6 - 5
y = -11
:
This gives y a rather high value, perhaps x = +2 would be better for graphing
y = -2(2) - 5
y = -4 - 5
y = -9
:
From what we have done we can make a table
x | y
--------
-3 |+1
0 |-5; I always include x = 0 because it's so easy to know the value of y
+2 |-9
+3 |-11
:
If you plot this on +/-10 x-y graph:
:
Note that x=3 will not be included on our 10 by 10 by graph, choose values that
will keep it on a 10 by 10 graph
:
Remembering that this is an <= inequaltity, shade the area at or below the line on this graph.
:
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