Question

2. Se dau mulţimile: A = {xe N/ 12x ≤ 24}; B = {yeN*/5y ≤25}; C={zeN/z-2≤ 2}. Aflați: a) AUBUC; b) BOC; c) An Bn C; d) (AUB) nc. 4)-8A/D VA ROG AM NEVOIE FT URGENT!!!!​

Answer 1

Reuniune ∪- se iau toate elementele multimilor o singura data

Intersectie ∩- se iau elementele comune ale multimilor

Diferenta \- se iau elementele care se regasesc in prima multime si nu se regasesc in cea de-a doua multime

A = {x∈N | 12x ≤ 24}

B = {y∈N* | 5y ≤25}

C={z∈N | z-2≤ 2}

Rezolvam inecuatiile:

12x≤24

x≤24:12

x≤2

x={0,1,2}

A={0,1,2}

5y≤25

y≤25:5

y≤5

y={1,2,3,4,5}

B={1,2,3,4,5}

z-2≤2

z≤4

z={0,1,2,3,4}

C={0,1,2,3,4}

a)

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

b)

B∩C={1,2,3,4}

c)

A∩B∩C={1,2}∩{0,1,2,3,4}={1,2}

d)

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

Un alt exercitiu gasesti aici: https://brainly.ro/tema/10092996

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