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OpenStudy (mathlegend):
|4x-9|+20>35
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OpenStudy (mathlegend):
My first answer was x>6
OpenStudy (mathlegend):
and then I got x<-11.5
OpenStudy (jiteshmeghwal9):
|4x-9|=-(4x-9)
=-4x+9
&
|4x-9|=4x-9
OpenStudy (anonymous):
|4x-9|>35-20
|4x-9|>15
solve the following two equations
4x-9>15
4x-9<-15
OpenStudy (jiteshmeghwal9):
so one time
-4x+9+20>35
-4x+29>35
-4x>35-29
-4x>6
x>6/-4
x>3/-2
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OpenStudy (jiteshmeghwal9):
& one time
4x-9+20>35
4x+11>35
4x>35-11
4x>24
x>24/4
x>6
OpenStudy (anonymous):
\[|4x-9|+20>35 \rightarrow |4x-9|>35-20\]
OpenStudy (anonymous):
|4x-9|>35-20
|4x-9|>15
solve the following two equations
4x-9>15
4x-9<-15
4x>15+9
x>24/4
x>6
now
4x-9<-19
4x<-15+9
4x<-6
x<-6/4
x<-3/2
OpenStudy (anonymous):
where did -19 come from?
hartnn (hartnn):
just a typo i guess,next steps are correct....
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OpenStudy (anonymous):
k, I just woke up and I thought I might be seeing things incorrectly
OpenStudy (anonymous):
so the next value of x should be solved in the form of:
\[-|4x-9|>15\] which gives us
\[-4x+9>15\]
OpenStudy (anonymous):
@panlac01 sorry -19 is typo mistake .
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