👤

Se dau intervalele:
i1=[-5 ; 1/2]
i2=[1/2;3]
i3=[-2/4;2]

Calculati :
i1∩i3
i2\i3
i2∪i3

i1∩i2∩i3
(i1\i2) ∪ (i3\i2)


Răspuns :

Răspuns:

Explicație pas cu pas:

Se dau intervalele:

i1=[-5 ; 1/2]

i2=[1/2;3]

i3=[-2/4;2]

Calculati :

i1∩i3=[-5 ; 1/2]∩[-2/4;2]=[-5; 2]

i2\i3=[1/2;3] \[-2/4;2]=(2; 3]

i2∪i3=[1/2;3] ∪[-2/4;2]=[-1/2; 3]

i1∩i2∩i3=[-5 ; 1/2]∩[1/2;3]∩[-2/4;2]={1/2}

(i1\i2) ∪ (i3\i2)=( [-5 ; 1/2]\[1/2;3] ) ∪ ( [-2/4;2]\ [1/2;3] ) = [-5 ; 1/2) ∪ [-1/2; 1/2)=

= [-5 ; 1/2)