Determine the type of boundary line and shading for the graph of the inequality y > 2x + 4
A) Dashed line with shading on the side that includes the origin.
B) Solid line with shading on the side that does not include the origin.
C) Dashed line with shading on the side that does not include the origin.
D) Solid line with shading on the side that includes the origin.
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jimthompson5910 (jim_thompson5910):
Is there a line under the > sign
OpenStudy (anonymous):
nope
jimthompson5910 (jim_thompson5910):
so that means you have a dotted or dashed line
jimthompson5910 (jim_thompson5910):
if you did have a line under the >, then you'd have a solid line
jimthompson5910 (jim_thompson5910):
now plug in (0,0) and see if the inequality is true or not
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OpenStudy (anonymous):
umnmmmm idk how to tell if it is true.
jimthompson5910 (jim_thompson5910):
start with y > 2x + 4
and plug in x = 0 and y = 0
jimthompson5910 (jim_thompson5910):
y > 2x + 4
0 > 2(0) + 4
0 > 0 + 4
0 > 4
is that true?
OpenStudy (anonymous):
no! :D
jimthompson5910 (jim_thompson5910):
so the origin, which is the point (0,0), is NOT in the solution set
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