Question

plssss va rog am nevoie urgent de aceste ex......

Answer 1

A={x∈N stelat|x<sau egal cu 4 }
x<sau egal cu 4
x∈{1,2,3,4}⇒A={1,2,3,4}
B={y∈N|y=x²-1,x∈A}
x=1,2,3,4
1²-1=1-1=0
2²-1=4-1=3
3²-1=9-1=8
4²-1=16-1=15
y=0,3,8,15⇒B∈{0,3,8,15}
C={z∈N|z=6-x,x∈A}
x=1,2,3,4
6-1=5
6-2=4
6-3=3
6-4=2
z=5,4,3,2⇒C∈{5,4,3,2}\
Scriem multimile iar:
A={1,2,3,4}
B∈{0,3,8,15}
C∈{5,4,3,2}
a)(A∩B)∪(B∩C)=∅∪{3}={3}(nu sunt sigur daca este 3,s-ar putea sa fie ∅,chiar nu stiu)
b)(A-C)∩(C-B)={1}∩{5,4,2}=∅
c)(A∪C)-(B∩A)={1,2,3,4,5}-{3}={1,2,4,5}
d)(B-C)∪(A-B)={0,8,15}∪{1,2,4}={0,8,15,1,2,4}
Sper ca te-am ajutat!:)