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

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.
:
Has this helped answer your questions?
RELATED QUESTIONS
graph each of the following inequalities on the cartesian plane 2x + y <_ -5 How do I (answered by jim_thompson5910)

More Inequalities Problems Extra Practice, Graph the following inequalities onto the... (answered by solver91311)

i need help on...graph y=(x)-5i need help understanding what numbers i plug in and how do (answered by xmusicalxinkx)

How do you use a graphing calculator to graph f(x)=x^7-2x^5 on an interval of (-2,2)? I... (answered by stanbon)

Make a graph that i can understand because that what i am having problems on of the... (answered by solver91311)

My question comes from the pre-calculus CLEP study guide from collegeboard.com. It is an (answered by Fombitz)

graph the solution of y-2>1 on a number line (linear inequalities) i know how to graph... (answered by rfer)

Hi my name is Caroline, I have a question on solving systems by substitution. How do I... (answered by ewatrrr)

Can I please have help with this, Thank you! Sharon has applied to the navy. She... (answered by Theo,ikleyn)