Question

Znajdź AuB, AnB, A/B i B/A, jeżeli.

a. A(-nieskończoności ; -1) B<0;2>

b. A(-2;5> B<0;3)

Answer 1

a)

A = (- ∞; - 1) i B = <0; 2>

A u B = (- ∞; - 1) u <0; 2>

A n B = (- ∞; - 1) n <0; 2> = Ф

A \ B = (- ∞; - 1) \ <0; 2> = (- ∞; - 1) = A

B \ A = <0; 2> \ (- ∞; - 1) = <0; 2> = B

b)

A(- 2; 5> i  B<0; 3)

A u B = (- 2; 5> u <0; 3) = (-2; 5> = A

A n B = (- 2; 5> n <0; 3) = <0; 3 = B

A \ B = (- 2; 5> \ <0; 3) = (- 2; 0) u <3; 5>

B \ A = <0; 3) \ (- 2; 5> = Ф