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Algebra
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OpenStudy (anonymous):
3 − (2x − 5) < −4(x + 2)
Solve for inequality
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pooja195 (pooja195):
Any ideas on where to start?
OpenStudy (anonymous):
distribute?
pooja195 (pooja195):
Yep :)
pooja195 (pooja195):
Start by distributing
−4(x + 2)
OpenStudy (anonymous):
-4x + -8?
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pooja195 (pooja195):
yep so we have
3 − (2x − 5) < -4x-8
we can get rid of the parentheses on the other side
3 − 2x − 5< -4x-8
Combine the like terms
OpenStudy (anonymous):
3 - 6x -5 < -8
pooja195 (pooja195):
−2x+8<−4x−8
^thats what it simplifies too
-5-3=-8
pooja195 (pooja195):
Add 4x to both sides.
−2x+8+4x<−4x−8+4x
2x+8<−8
Subtract 8 from both sides.
2x+8−8<−8−8
2x<−16
pooja195 (pooja195):
from here divide by 2 since we are isolating x
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pooja195 (pooja195):
*divide both sides by 2
OpenStudy (anonymous):
x >= -8?
pooja195 (pooja195):
not quite why did u flip the symbol? We only do that IF the number you are dividng by is a negative
OpenStudy (anonymous):
ohhh so x < 8
OpenStudy (anonymous):
or =
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pooja195 (pooja195):
the -8 was right
pooja195 (pooja195):
We dont need an = sign anywhere
pooja195 (pooja195):
x<8
OpenStudy (anonymous):
Ok that makes since. Thank you
pooja195 (pooja195):
lol you're welcome :)
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