How exactly do you know when you need to change a inequality into y=mx+b?
@Loser66
Should I always do it ?
the form is irrelevant to the math of it.
But when graphing it makes a difference
it relates to the previous one
no, its only in the eye of the beholder
wtf...
so a 2 parter eh
To me, ALWAYS
Which inequality will have a shaded area below the boundary line? y – x > 5 2x – 3y 3 2x – 3y 7x + 2y 2 3x + 4y > 12
So I should change them all to y=mx+b before considering them?
Now, BELOW, right?
Right
not =, but the proper symbol. butill let yall finish up where yall left off
hence, you need y < (lesser) no need to change, just consider which inequality has y < something
Well I have to put them into that form to see which is y<
hahaha, you missed a bunch of symbols from b,c,d
Type the problem carefully, PLEASE
you CAN do it
Give me a second
D?(:
yup
I'm going to make it into that form for every problem.. That couldn't hurt huh?
yes
as long as you remember to flip the symbol when needed
it is easy to do, just practice more
Gotcha! Thanks a million, good teacher
@amistre64 When I graph something such as 3x + 4y > 12 it changes the look of the graph when I put it into the other form...
3x + 4y > 12 let x=0 to investigate how this moves along the y axis 4y > 12 y > 3 the true region is therefore is all the points above 3
7x + 2y <= 2, see how this moves along the y axis, let x=0 2y <= 2 y <= 1 , all the points under y=1 are true, so the shade is under the line
notice that i dont even have to graph them ... i just observe the movement along the y axis
Yeah I see that
Am I missing something.. The top and bottom answer are the same??
an aside ... the intercept form of a line, if you ever want to just graph the intercepts \[ax+by=c\] \[\frac{ax}{c}+\frac{by}{c}=\frac cc\] \[\frac{x}{c/a}+\frac{y}{c/b}=1\] when x=0, y=c/b when y=0, x=c/a
the top and bottom graphs do appear to be alike yes
wtf.. They're both the right answer too
Which graph represents the solution set for the system x + 2y 3, x + y 4, and 3x − 2y 4?
ive had some computer programed stuff like that ... it trying to pull a random set whats the actual question?
thats the question
its missing the <> stuff
lol one second
x + 2y <= 3 ; 3,0 and 0,1.5 2y <= 3 y <= 1.5 we have a shade under the blue line x + y >= 4 ; 4,0 and 0,4 y >= 4 we have a shade above the red line 3x - 2y >= 4 ; 4/3, 0 and 0,-2 for variety, lets do y=0 3x >= 4 x >= 4/3, its shaded to the right of the green line
|dw:1430878057505:dw|
WTTTFFFF... How did I not do it right
please curb the profanity ...
What the fudge..
we can always dbl chk the point 4,1 x + 2y <= 3 4 1 4 + 2 = 6 <= 3 is false <---- it doenst work here x + y >= 4 4 1 4 + 1 = 5 >=4 is true 3x - 2y >= 4 4 1 12 - 2 = 10 >= 4 is true
lol, thats better ... wtf has a specific and profane meaning.
I wish I could show you how I got the answer but It's on a graph
i defined the shaded region by observing the movement along an axis ... then i was able to detemrine which line was which by the intercepts alone; and then i simply applied the shading in the direction
Here let me try to show you what I tried to do and see if you can see why its wrong
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