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OpenStudy (anonymous):
OpenStudy (anonymous):
@welshfella
OpenStudy (welshfella):
|4 - v| < 5
means
4 - v < 5 or 4 - v > -5
OpenStudy (welshfella):
can you solve these 2 inequalities?
OpenStudy (anonymous):
maybe.. can you walk me through?
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OpenStudy (welshfella):
4 - v < 5
subtract 4 from both sides
-v < 5-4
-v < 1
the next is the tricky part
remember that when you divide the variable by a negative in an ineuqality the sign is flipped
so -v / -1 > 1/-1
v > -1 is the solution
OpenStudy (welshfella):
so try and solve the other inequality in a similar way
OpenStudy (anonymous):
4-v>-5
Subtract 4 from both sides
-v> 4- -5
-v>-9
-v/-9 not sure about this part
OpenStudy (welshfella):
you need the value of v so divide both sides by -1
and flip the inequality sign
OpenStudy (anonymous):
-v/-9< -9/-1 like this?
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OpenStudy (welshfella):
no you are dividing the -v by -9
you have to divide both sides of the equals by the same value in order to reatin the inequality
its
-v / -1 > -9/-1
OpenStudy (anonymous):
oh sorry i was confused. I thought you told me to flip the sign
OpenStudy (welshfella):
oh I didn't flip the sign it is
-v / -1 < -9/-1
now do the divisions and we get
v < 9
OpenStudy (welshfella):
follow?
OpenStudy (anonymous):
yes thanks so much
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OpenStudy (welshfella):
yw
OpenStudy (welshfella):
so the solution set is {x | -1 < x < 9}
OpenStudy (welshfella):
and the graph consists of 2 open circles on the points -1 and 9 and shaded area between these points
OpenStudy (welshfella):
gotta go
OpenStudy (anonymous):
Alright thank you again bye :)
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