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Mathematics 18 Online
OpenStudy (moongazer):

Teach me in solving this inequality.

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.

OpenStudy (anonymous):

To remove the modulus sign we write \[|2x -11|\] as \[\sqrt{2x - 11}^2\]

OpenStudy (moongazer):

Why is that?

OpenStudy (vishal_kothari):

http://www.mathmotivation.com/lectures/Inequalities.pdf

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

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

OpenStudy (moongazer):

Thanks!

OpenStudy (moongazer):

What if it is "="

OpenStudy (hoblos):

if |x| = a then x=a OR x=-a

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