Question

Vreau rezolvarea repede de
|x+1|-2|=3

Answer 1

|x+1|=5

-5<=x+1<=5

-6<=x<=4 deci x apartine [-6,4]

Answer 2

||x+1|-2|=3 => |x+1|-2=3 sau |x+1|-2=-3 .

i.  |x+1|-2=3 <=> |x+1|=5 <=> -5 <= x+1 <= 5 => =-6 <= x <= 4 dar deoarece x∈R =>x∈[-6,4] .

ii. |x+1|-2=-3 <=> |x+1|=-1 ,care nu convine deoarece pentru orice x∈R avem |x+1| > 0 <=> |x+1|=-1 > 0 ,contradictie .