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Mathematics
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OpenStudy (melissa_something):
x+7/ x+8 <3
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OpenStudy (melissa_something):
OpenStudy (melissa_something):
No, this is much more difficult :(
OpenStudy (anonymous):
ok factor the polynomail first
OpenStudy (xapproachesinfinity):
which question are you attempting
OpenStudy (xapproachesinfinity):
i see two questions
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OpenStudy (xapproachesinfinity):
the second one try to factor by grouping
OpenStudy (melissa_something):
Omg my bad
OpenStudy (melissa_something):
OpenStudy (xapproachesinfinity):
\[\Large x^3+3x^2-x-3>0 \Longrightarrow x^3-x+3x^2-3>0\\ x(x^2-1)+3(x^2-1)>0\]
OpenStudy (melissa_something):
I already simplified it to -2x-17/ x+8
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OpenStudy (melissa_something):
Woah what is that
OpenStudy (xapproachesinfinity):
the second one you posted
OpenStudy (xapproachesinfinity):
\[(x+3)(x-1)(x+1)>0\] now solve it
OpenStudy (melissa_something):
Omg my bad :(
OpenStudy (melissa_something):
It's supposed to be #17
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OpenStudy (xapproachesinfinity):
oh made a mistake !
OpenStudy (xapproachesinfinity):
\[\Large \frac{x+7}{x+8}<3 \Longrightarrow \frac{-2x-17}{x+8}<0\]
set -2x-17=0
and x+8=0
OpenStudy (xapproachesinfinity):
-8 is excluded solution
OpenStudy (xapproachesinfinity):
so what did you do ?
OpenStudy (melissa_something):
x= -17/2
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OpenStudy (xapproachesinfinity):
what is that?
OpenStudy (xapproachesinfinity):
you are supposed to have x=-8, x=-17/2
draw a number line
OpenStudy (xapproachesinfinity):
put those two point on the number line
test some point and see what intervals work
OpenStudy (xapproachesinfinity):
have you ever dealt with inequalities
OpenStudy (xapproachesinfinity):
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