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Mathematics 19 Online
OpenStudy (anonymous):

does this inequality include an orgin when u graph it? 4x + y > -6

jimthompson5910 (jim_thompson5910):

What point is the origin?

OpenStudy (anonymous):

idk, it just asked if the slope is dashed or sollid and does it need an orgin or not

OpenStudy (anonymous):

how can u tell if an inequality needs an orgin?

jimthompson5910 (jim_thompson5910):

The origin is the point (0,0)

jimthompson5910 (jim_thompson5910):

Does x = 0 and y = 0 satisfy this inequality?

OpenStudy (anonymous):

i thin so, since there is no number to inact with y

OpenStudy (anonymous):

actually

OpenStudy (anonymous):

i just realized something

OpenStudy (anonymous):

if i put it in slope intercept form t y will be by itelf

OpenStudy (anonymous):

so y > 4x - 6

OpenStudy (anonymous):

is tht correct?

jimthompson5910 (jim_thompson5910):

more like y > -4x - 6

OpenStudy (anonymous):

yeah, ok

OpenStudy (anonymous):

so tht means it doesnt need the orgin

jimthompson5910 (jim_thompson5910):

does x = 0 and y = 0 satisfy y > -4x - 6 ?

jimthompson5910 (jim_thompson5910):

In other words, is 0 > -4*0 - 6 true?

OpenStudy (anonymous):

oh ok, yeah

jimthompson5910 (jim_thompson5910):

so because 0 > -4*0 - 6 is true, (0,0) is part of the solution set

OpenStudy (anonymous):

so it neds the origin, thnks

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