Question

11. Fie mulțimile A = {1, 2, 0, 3), B = {3, 2, 5, 4), C = {7, 0, 3, 2). Determinaţi: a) AU (BUC); e) (A \ B) UC; b) AU (BOC); f) A\ (BUC); c) An (BUC); g) (A\B) (A \ C). d) (An B) nC;
Repedeeeeee​

Answer 1

Răspuns:

Explicație pas cu pas:

A = {1, 2, 0, 3), B = {3, 2, 5, 4), C = {7, 0, 3, 2)

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

e) (A\B)∪C={0,1}∪{0,2,3,7}={0,1,2,3,7}

b) A∪(B∩C)={0,1,2,3}∪{2,3}={0,1,2,3}

f) A\(B∪C)={0,1,2,3)\{0,2,3,4,5,7}={1}

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

g)(A\B)∩(A\C)={0,1}∩{1}={1}

d)(A∩B)∩C={2,3}∩{0,2,3,7}={2,3}