Question

1. Dla danych przedziałów P i Q wyznacz zbiory: P U Q, P n Q, P\Q, Q\P.

a) P = (2; 7), Q = (5; 9)
b) P = (-∞0; 4), Q = (0; 8)
c) P = (5; 9), Q = (1;5)
d) P = (6; 8), Q = (9; ∞0)

Answer 1

a)

P∪Q = (2 ; 9)

P∩Q = (5 ; 7)

P\Q = (2 ; 5>

Q\P = <7 ; 9)

b)

P∪Q = (-∞ ; 8)

P∩Q = (0 ; 4)

P\Q = (-∞ ; 0>

Q\P = <4 ; 8)

c)

P∪Q = (1 ; 5) ∪ (5 ; 9)

P∩Q = ∅

P\Q = (5 ; 9)

Q\P = (1 ; 5)

d)

P∪Q = (6 ; 8) ∪ (9 ; ∞)

P∩Q = ∅

P\Q = (6 ; 8)

Q\P = (9 ; ∞)