Determine the type of boundary line and shading for the graph of the inequality y > 2x + 6
Dashed line with shading on the side that includes the origin.
Solid line with shading on the side that does not include the origin.
Dashed line with shading on the side that does not include the origin.
Solid line with shading on the side that includes the origin.
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OpenStudy (gabylovesyou):
@jim_thompson5910
OpenStudy (gabylovesyou):
@cwrw238
jimthompson5910 (jim_thompson5910):
the > has no line under it
jimthompson5910 (jim_thompson5910):
so you're dealing with a dashed line
jimthompson5910 (jim_thompson5910):
you just need to check if the origin is included in the shaded region or not.
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OpenStudy (gabylovesyou):
ok........ How would i know that?? :)
jimthompson5910 (jim_thompson5910):
y > 2x + 6
0 > 2(0)+6 ... Plug in (0,0)
Then simplify
jimthompson5910 (jim_thompson5910):
If you get a true inequality, then (0,0) is in the shaded region
OpenStudy (gabylovesyou):
what did u get?? i got falseeee
jimthompson5910 (jim_thompson5910):
it is false, nice job
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jimthompson5910 (jim_thompson5910):
so (0,0) is NOT in the shaded region
OpenStudy (gabylovesyou):
but did u get false??????
OpenStudy (cwrw238):
gaby - check out your last post after you have finished here
jimthompson5910 (jim_thompson5910):
y > 2x + 6
0 > 2(0) + 6
0 > 0 + 6
0 > 6
which is false