Question

Determinati numarul rational x:
modul de x= 1/3
modul de x+1=-1
modul de -x= modul de x

Answer 1

IxI=1/3
x=1/3
x=-1/3
S={-1/3, 1/3}

Ix+1I=-1
x+1=-1
x=-1-1
x=-2
x+2=-(-1)
x+2=1
x=1-2
x=-1
S={-2,-1}

I-xI=IxI
I-xI-IxI=0
I-x-xI=0
I-2xI=0
x=0
S={0}