Nowa MATeMAtyka 1. Podręcznik. Zakres podstawowy | Strona 74

Ćwiczenie 1. Wyznacz zbiory A ∪ B, A ∩ B, A \ B, B \ A.

a)

A ∪ B = (1; 6)
A ∩ B = (2; 4)
A \ B = (1; 2]
B \ A = [4; 6)

b)

A ∪ B = [−4; 3)
A ∩ B = {1}
A \ B = [−4; 1)
B \ A = (1; 3)

c)

A ∪ B = [−5; 3]
A ∩ B = [1; 3]
A \ B = ∅
B \ A = [−5; 1)

d)

A ∪ B = (−3; 2]
A ∩ B = (−1; 2]
A \ B = (−3; −1]
B \ A = ∅

Ćwiczenie 2. Zaznacz na osi liczbowej zbiór X.

a) X = [−4; −1] ∪ [2; 4)

b) X = [−6; −5] ∪ (−3; 2) ∪ [4;∞)