Question

||3x−4|−5|>1
Solve the inequality
:)

Answer 1

`||3x-4|-5|>1\\|3x-4|-5>1 \vee |3x-4|-5<-1\\|3x-4|>6 \vee |3x-4|<4\\3x-4>6 \vee 3x-4<-6 \vee (3x-4<4 \wedge 3x-4>-4)\\3x>10 \vee 3x<-2 \vee (3x<8 \wedge 3x>0)\\x>(10)/(3) \vee x<-(2)/(3) \vee (x<(8)/(3) \wedge x>0)\\x\in\left(-\infty,-(2)/(3)\right)\cup\left(0,(8)/(3)\right)\cup\left((10)/(3),\infty\right)`