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Mathematics 7 Online
OpenStudy (anonymous):

|(10y+30)/(3)|<10

OpenStudy (anonymous):

solve the absolute value inequality

OpenStudy (aravindg):

multiply by 3 on both sides

OpenStudy (aravindg):

then subtract 30 on both sides

OpenStudy (aravindg):

then divide both sides by 10 :)

OpenStudy (aravindg):

can you do it now ?

OpenStudy (anonymous):

so it would be 10<10y+30<10?

hero (hero):

\[-10 < \frac{10y + 30}{3} < 10\]

OpenStudy (anonymous):

the answer i get is y<0 but i need to figure out how to get -6 on the other side. I know this answer i need to figure out how to solve

OpenStudy (aravindg):

use my steps above

OpenStudy (aravindg):

what did you get when you did first step ?

hero (hero):

@AravindG,no disrespect but your steps are incorrect

OpenStudy (anonymous):

-30<10y+10<30 then divide by 10 i get -3<y<3

OpenStudy (aravindg):

oh sorry !!! I didnt see the modulus sign !! thanks for spot @Hero

OpenStudy (anonymous):

-6<y? by minusing the 3 from the right side?

OpenStudy (anonymous):

-6<y<0

hero (hero):

\[-10 < \frac{10y + 30}{3} < 10\] Multiply all sides by 3: \[-30 < 10y + 30 < 30\] Subtract 30 from all sides: -60 < 10y < 0 Divide all sides by 10: -6 < y < 0

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