Question

( este ex 18a)
Efectuați AuB, AnB, A\B si B\A daca:
A={x€R| |x-1|<sau=2} si
B={x€R| |x-1| >1}
Dau coroană!

Answer 1

x-1≤2⇒x≤3⇒A=(-∞,3]
x-1>1⇒x>2⇒B=(2,+∞)
AUB=R
AnB=(2,3]
A\B=(-∞,2)
B\A=(3,+∞)