Question

Se considera A={x e R |lx|<6} si B={x e R | x ≥ 3}
a) Scrieti A si B sub forma de intervale
b) Efectuati A U B ; A ∩ B; A\ B; B U N; B ∩ N; A \ N*.

Answer 1

IxI∠6⇒-6∠x∠6⇒A={-5,-4,-3,-2,-1,0,1,2,3,4,5}
x≥3⇒B={3,4,5,6,............}
AuB={-5,-4,...............}
AnB={3,4,5,.................}
A\B={-5,-4,-3,-2,-1,0,1,2}
BuN={0,1,2,3,4,5,.........}
BnN={3,4,5,.......}
A\N*={-5,-4,-3,-2,-1,0}
trebuia ca intervale acum am vazut
A=(-6,6)
B=[3,+∞)
AuB=(-6,+∞)
AnB=[3,+∞)
A\B=(-6,3)
BuN=[0,+∞)
BnN=[3,+∞)
A\N*=(-6,0]