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OpenStudy (anonymous):
|(10y+30)/(3)|<10
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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 ?
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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 ?
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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
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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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