The solution to which inequality is shown?
http://static.k12.com/calms_media/media/1412500_1413000/1412583/1/dc6b145dc84537ee0bec246d4cdeb4bb57fd98a1/MS_PA_130528_200025.jpg
A.
y + 3 ≥ –1
B.
y + 3 > –1
C.
y + 3 ≤ –1
D.
y + 3 < –1
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jimthompson5910 (jim_thompson5910):
What do you get when you solve the inequality for choice A?
OpenStudy (itsbribro):
i really dont know my teacher didn't show me anything.
jimthompson5910 (jim_thompson5910):
to solve y + 3 ≥ –1, we need to isolate y
jimthompson5910 (jim_thompson5910):
to do that, we undo the +3 by subtracting 3 from both sides
jimthompson5910 (jim_thompson5910):
y + 3 ≥ –1
y + 3-3 ≥ –1-3
y + 0 ≥ –4
y ≥ –4
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jimthompson5910 (jim_thompson5910):
See how I did that?
OpenStudy (itsbribro):
oh ok
OpenStudy (itsbribro):
do i do that to every single one
jimthompson5910 (jim_thompson5910):
yes, and then graph each solution you get
jimthompson5910 (jim_thompson5910):
and compare those graphs to the one given
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OpenStudy (itsbribro):
by 3
OpenStudy (itsbribro):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
what do you mean "by 3"?
OpenStudy (itsbribro):
do i subtract by 3 on each answer?
jimthompson5910 (jim_thompson5910):
yes, you subtract 3 from both sides for each inequality to get 'y' all by itself on one side
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OpenStudy (itsbribro):
okay thanks :)
jimthompson5910 (jim_thompson5910):
you're welcome
jimthompson5910 (jim_thompson5910):
tell me what you get
OpenStudy (itsbribro):
i am so confused i got -4 on each one
OpenStudy (itsbribro):
either im doing them wrong or idk
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jimthompson5910 (jim_thompson5910):
good, the only difference is the inequality sign
jimthompson5910 (jim_thompson5910):
A) is y ≥ –4 while B) is y > –4 for instance
OpenStudy (itsbribro):
oh so it would be B
jimthompson5910 (jim_thompson5910):
are you sure?
jimthompson5910 (jim_thompson5910):
y > -4 would have shading to the right of -4
there would be an open circle at -4
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OpenStudy (itsbribro):
ohh i think i got it now
jimthompson5910 (jim_thompson5910):
so what's the real answer?
OpenStudy (itsbribro):
A.....
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
when you solve for y in choice A, you get y ≥ –4
so you would shade to the right and you'd have a closed circle
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jimthompson5910 (jim_thompson5910):
> or ≥ means you shade to the right
the underline under the inequality sign means you have a closed circle
no underline means you have an open circle