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Mathematics 16 Online
OpenStudy (anonymous):

Please Help

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?

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?

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

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 :)

OpenStudy (welshfella):

bye

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