What is the system of equations that describes the following graph? Linear Inequalitites
Answers:
x + y < 3
x – y > -2
y ≤ 0
x + y < 3
x – y > -2
x ≥ 0
x + y < 3
x – y > -2
y ≥ 0
x + y > 3
x – y < -2
x ≥ 0
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OpenStudy (anonymous):
OpenStudy (dan815):
whats the lowest value of x?
and what is the lowest value of y?
OpenStudy (dan815):
or highest value of y u see there
OpenStudy (anonymous):
you dont need the lowest value of x or y....to solve
OpenStudy (dan815):
lets just write equations of those 2 lines
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OpenStudy (anonymous):
ok!
OpenStudy (anonymous):
it is A.
OpenStudy (dan815):
no its not A lol
OpenStudy (anonymous):
if you serperately graph each function, and shade in the overlapping, then it should be it
OpenStudy (anonymous):
it is A.....
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OpenStudy (dan815):
uhh no lol first notice that the horizotal like is x>= 0
OpenStudy (dan815):
line*
OpenStudy (anonymous):
oh wait
no
b
OpenStudy (anonymous):
i was solving it and i didnt see the x and y >.>
OpenStudy (anonymous):
yeah its b.. derp lol
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OpenStudy (dan815):
ok good >< now let me explain it for this guy
OpenStudy (dan815):
its good to explain all the basics and fundamentals!
OpenStudy (anonymous):
hahaha all good :)
OpenStudy (dan815):
okay lets write equations of these lines that we are working with!
OpenStudy (dan815):
you already saw, that the horizontal line was x=0
basically for all value of y, x =0 at that point
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OpenStudy (anonymous):
ok
OpenStudy (dan815):
what about the other 2 lines, can u tell me the equation of the line with the positive slope
OpenStudy (anonymous):
I can't im just writing everything down as you tell me. Im the worst at graphs
OpenStudy (dan815):
have you learnt about equation of a line yet
OpenStudy (dan815):
|dw:1368769102533:dw|
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OpenStudy (anonymous):
ok
OpenStudy (dan815):
what is the slope of the line on that graph?
OpenStudy (dan815):
for your diagram
OpenStudy (dan815):
slope is = the rise/run
OpenStudy (dan815):
or the change in Y/ change in X
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OpenStudy (anonymous):
Ummm....-3
OpenStudy (dan815):
how did u get that
OpenStudy (anonymous):
I looked at the lines on the diagram
OpenStudy (dan815):
tell me 2 points on that line
and ill show u how to get the slope
OpenStudy (dan815):
take any 2 easy to read points on that line
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OpenStudy (anonymous):
-3 and 2
OpenStudy (dan815):
what is that
these are points
a point has an x value and y value to it
because it is location on a 2 axis grid