Question

22 Fie mulţimile A = {x € N|x+ 5 < 17} și B = {x € A| 5 (x+3)}. Calculaţi: AUB şi A\B.
Rezolvare:

Answer 1

Răspuns:

Explicație pas cu pas:

22.

x + 5 ≤ 17

x ≤ 17 - 5

x ≤ 12

A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

x + 3 = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

5 divide 5, 10, 15

B = {2, 7. 12}

A U B = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A \ B = {0, 1, 3, 4, 5, 6, 8, 9, 10, 11}