Question

Wyznacz zbiory: AuB , AnB, A/B, B/A .

a) A= (-3;1) u (3;6), B= (0,4)

b) A= <-2,1> u <4;5>, B= (0;∞)

c) A= (-∞;0> u <2;5>, B= (-1,6)

d) A= (-2;0> u {3}, B= <3;5>

e) A= <0;7>, B= (1;3) u <8;9>

f) A=<1;9>, B= {1;2} u (6,9)

g) A= <-5;2>, B= {1,2}

h) A= <3;∞) , B= {2,3,4}

Daję najj . :)

Answer 1

a)  A= (-3;1) u (3;6)

B= (0,4)

 

AuB = (-3,6)

AnB = (0,1) u (3,4>

A\B = (-3,0>u <4,6)

B\A = <1,3>

 

b)  A= <-2,1> u <4;5>

B= (0;∞)

 

AuB = <-2,∞)

AnB = (0,1>u <4,5>

A\B = <-2,0>

B\A = (1,4) u (5,∞)

 

c)  A= (-∞;0> u <2;5>

B= (-1,6)

 

AuB = (-∞,6)

AnB = (-1,0>u<2,5>

A\B = (-∞,-1>

B\A = (0,2) u (5,6)

 

d)  A= (-2;0> u {3}

B= <3;5>

 

AuB = (-2,0> u <3,5>

AnB = {3}

A\B = (-2,0>

B\A = (3,5>

 

e)  A= <0;7>

B= (1;3) u <8;9>

 

AuB = <0,9>

AnB = (1,3)

A\B = <0,1> u <3,7>

B\A = <8,9>

 

f)  A=<1;9>

B= {1;2} u (6,9)

 

AuB = <1,9>

AnB =  (6,9) u {1,2}

A\B = (1,2) u (2,6>

B\A = pusty

 

g)  A= <-5;2>

B= {1,2}

 

AuB = <-5,2>

AnB = {1,2}

A\B = <-5,1) u (1,2)

B\A = pusty

 

h)  A= <3;∞)

B= {2,3,4}

 

AuB = <3,∞) u {2}

AnB = {3,4}

A\B = (3,4) u (4,∞)

B\A = {2}