Question

Rezolvati in multimea numerelor reale inecuatia |x+1|×(|2x+1/3|-1)<0​

Answer 1

Explicație pas cu pas:

|x+1|(|2x+1/3|-1)<0

|x+1|>=0

Daca |x+1|=0 atunci x+1=0 deci x=-1

Daca |x+1|>0 atunci |2x+1/3|-1>0

Deci |2x+1/3|>1

2x+1/3>1 sau 2x+1/3<-1

2x>2/3 sau 2x<-4/3

x>1/3 sau x<-2/3

Deci x apartine (1/3; infinit) U (-infinit; -2/3) U {-1}

Deci x apartine (1/3; infinit) U (-infinit; -2/3)