množiny 1 (sjednocení a průnik) – cvičné příklady - řešení

 

zpět na I.Mn, I.N

množiny 1

množiny 2

 

 

 

jsou dány množiny:

A = {1, 3, 5, 7}

B = {2, 4, 6, 8 …}

C = {8}

D = {4, 7, 9, 10, 12, 13}

E = {5, 10, 15}

F = {2, 4, 6, 8, 10, 12, 14}

 

určete daný průnik a sjednocení:

skrýt řešení

 

 

A ∩ B = Ø

 

A U B = {{1, 2, 3, 4, 5, 6, 7, 8}

U {10, 12, 14 …}}     

A ∩ C = Ø

 

A U C = {1, 3, 5, 7, 8}

 

A ∩ D = {7}

 

A U D = {1, 3, 4, 5, 7, 9, 10, 12, 13}

A ∩ E = {5}

A U E = {1, 3, 5, 7, 10, 15}

 

 

A ∩ F = Ø

A U F = {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14}

B ∩ C = {8}

B U C = {2, 4, 6, 8 …}

 

 

B ∩ D = {4, 10, 12}

B U D = {{2, 4, 6, 7, 8, 10, 12, 13} U {14, 16, 18 …}}

 

 

B ∩ E = {10}

B U E = {{2, 4, 5, 6, 8, 10, 12, 14, 15} U {16, 18, 20 …}}

 

 

B ∩ F = {2, 4, 6, 8, 10, 12, 14}

B U F = {2, 4, 6, 8 …}

 

 

C ∩ D = Ø

C U D = {4, 7, 8, 9, 10, 12, 13}

 

 

C ∩ E = Ø

C U E = {5, 8, 10, 15 }

 

 

C ∩ F = {8}

C U F = {2, 4, 6, 8, 10, 12, 14}

 

 

D ∩ E = {10}

 

D U E = {4, 5, 7, 9, 10, 12, 13, 15}

 

D ∩ F = {4, 10, 12}

 

D U F = {2, 4, 6, 7, 8, 9, 10, 12, 13, 14}

 

E ∩ F = {10}

 

E U F = {2, 4, 5, 6, 8, 10, 12, 14, 15 }