Množiny a operace s nimi

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A = (−∞;1)∪(5;∞)
B = <−5;1>
A∩B = <−5;1)
A∪B = (−∞;1>∪(5;∞)
A−B = (−∞;−5)∪(5;∞)
B−A = {1}

A = (−∞;−7)∪<0;1>
B = <1;∞)
A∩B = {1}
A∪B = (−∞;−7)∪(0;∞)
A−B = (−∞;−7)∪(0;1)

B_{R}^{\}

=<−∞;1)

A_{R}^{\}

=<-7;0)∪(0;1)

A = (−6;−2)
B = (−∞;−4>∪<2;∞)
C = {−4;−2; 0; 2; 4}
A∩B = (−6;−4>
A∪B = (−∞;−2)∪<2;∞)
A∩C = {−4}

B_{R}^{\}

=<-4;2)
B−A = (−∞;−6)∪<2;∞)

M_{1}

= {1; 2; 3; 4}

M_{2}

= {−5; 5}

M_{1} \cap M_{2}

= {}

M_{1} \cup M_{2}

= {−5; 1; 2; 3; 4; 5}

M_{2} - M_{1}

= {−5; 5}

M_{1} - M_{2}

= {1; 2; 3; 4}

M_{1}

= {1; 2; 3; 4; 5; 6; 10; 15; 30; 60}

M_{2}

= {8; 9; 10}

M_{1} \cap M_{2}

= {10}

M_{1} \cup M_{2}

= {1; 2; 3; 4; 5; 6; 8; 9; 10; 15; 30; 60}

M_{1} - M_{2}

= {8; 9}

A∪B = {0; 1; 2; 3; 4; 5; 6; 7}
A∩B = {1; 2; 3} ← musí mít A i B
B−A = {5; 6} ← musí být pouze v B
B = {1; 2; 3; 5; 6}
A = {0; 1; 2; 4; 7}

A = <−7; 2>
B = <−2; 5)
C = <2; ∞)
A∩B = <−2; 2>
A∩C = {2}
A∪B = <−7; 5)
(A∩B)∪C = <−2; ∞)
(A∪B)∩C = <2; 5)
(A∩C)∪(B∩C) = <2;5)
A−B = <−7;−2)

A = (5; ∞)
B = <0;10>

A_{R}^{\}

= (−∞; 5>

A_{R}^{\}

∪B = (−∞; 10>

A = {1; 2; 3; 4; 5}

B = (−6; 6)
C = <−3; ∞)
A = B∩C = <−3; 6>

A = (−∞;−5)∪<0;1>
B = <-6;0)
A∩B = <−6;−5)
A∪B = <−5; 0)

B_{R}^{\}

= (−∞;−6)∪<0; ∞)