Choose the correct description of the graph of the inequality x - 3 >= 5.
A) Open circle on 8, shading to the left.
B) Closed circle on 8, shading to the left.
C) Open circle on 8, shading to the right.
D) Closed circle on 8, shading to the right.
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OpenStudy (anonymous):
@ovenmitt12
OpenStudy (aripotta):
you have to get x by itself. how would you do that
OpenStudy (anonymous):
get rid of the 3?
OpenStudy (aripotta):
yea but how would you do that
OpenStudy (anonymous):
....subtract it?
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OpenStudy (aripotta):
no, you would add it. you have to do the opposite and since it's being subtracted, you add
OpenStudy (aripotta):
so add 3 to both sides
OpenStudy (anonymous):
okay. to both sides right?
OpenStudy (aripotta):
yes. what do you get?
OpenStudy (anonymous):
x >= 8?
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OpenStudy (aripotta):
yep. so firstly, would the circle be open or closed
OpenStudy (anonymous):
closed!
OpenStudy (aripotta):
yes! and would the shading be to the right or the left
OpenStudy (anonymous):
so B?
OpenStudy (aripotta):
no :/ because the shading would be to the right. x is greater than or equal to 8. and since the numbers on a number line get greater as you go to the right, the shading is to the right
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