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OpenStudy (moongazer):
Teach me in solving this inequality.
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OpenStudy (moongazer):
|2x−11|−2>4x+7
OpenStudy (moongazer):
I know how to solve equations. But I just don't know how to solve if it has absolute value sign. Teach me please. :)
OpenStudy (anonymous):
x < 1/3
OpenStudy (moongazer):
how?
OpenStudy (moongazer):
Teach me please and give me another example after teaching it. so that I can practice. and you will going to check it if I am right.
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OpenStudy (anonymous):
To remove the modulus sign we write \[|2x -11|\] as \[\sqrt{2x - 11}^2\]
OpenStudy (moongazer):
Why is that?
OpenStudy (anonymous):
To remove any modulus sign write
\[\left| ax + b \right| = (\sqrt{ax + b})^2\]
OpenStudy (moongazer):
Could you solve it step by step? and what is the reason behind To remove any modulus sign write
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OpenStudy (moongazer):
\[\left| ax + b \right| = (\sqrt{ax + b})^2\]
OpenStudy (hoblos):
|2x−11|−2>4x+7
|2x−11| > 4x +9 then
2x-11 > 4x +9 OR 2x-11 < -(4x+9)
-2x > 20 2x -11 < -4x -9
x<-10 6x < 2
x<1/3
OpenStudy (moongazer):
please explain
OpenStudy (hoblos):
rules:
if |x| < a then -a<x<a
if |x| >a then x>a OR x<-a
OpenStudy (hoblos):
you apply the second rule here
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OpenStudy (moongazer):
Thanks!
OpenStudy (moongazer):
What if it is "="
OpenStudy (hoblos):
if |x| = a then x=a OR x=-a
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