Question

va rog frumos ajutor pus multumesc

Answer 1

A={1,3,5}

B= 1-1=0, 3-1=2, 5-1=4⇒B={0,2,4}

C= 1-1=0, 1+2=3, 5-1=4, 3+0=3, 3+2=5, 3+4=7, 5+0=5, 5+2=7, 5+4=9. ⇒C={1,3,5,7,9}

b) A∩B={1,3,5}∩{0,2,4}=∅

B∪C={0,2,4}∪{1,3,5,7,9}={0,1,2,3,4,5,7,9}

C-A={1,3,5,7,9}-{1,3,5}={7,9}

c) (A∪B)∩C={1,3,5}∪{0,2,4}={0,1,2,3,5}∩{1,3,5,7,9}={1,3,5}

(A∩C)∪(B∩C)(={1,3,5}∩{1,3,5,7,9}={A}

B∩C={0,2,4}∩C{1,3,5,7,9}=∅ ⇒(A∩C)∪(B∩C)=A∪∅=0