Matematika

Pertanyaan

please yg bisa jawab

buat besok nih
please yg bisa jawab buat besok nih

1 Jawaban

  • [tex]S=\{0,1,2,3,4,5,6,7,8,9,10\}[/tex]
    [tex]A=\{2,3,5,7\}[/tex]
    [tex]B=\{5,7,9\}[/tex]

    [tex]A^{c}=S-A=\{0,1,4,6,8,9,10\}[/tex]
    [tex]B^{c}=S-B=\{0,1,2,3,4,6,8,10\}[/tex]
    [tex]A\bigcap B=\{5,7\}\rightarrow (A\bigcap B)^{c}=\{0,1,2,3,4,6,8,9,10\}[/tex]
    [tex]A\bigcup B=\{2,3,5,7,9\}\rightarrow (A\bigcup B)^{c}=\{0,1,4,6,8,10\}[/tex]
    [tex]A\bigcap (A\bigcup B)^{c}=\{2,3,5,7\}\bigcap\{0,1,4,6,8,10\}=\emptyset[/tex]
    [tex]B^{c}\bigcap (A\bigcup B)=\{0,1,2,3,4,6,8,10\}\bigcap\{2,3,5,7\}=\{2,3\}[/tex]
    [tex](A\bigcup B)^{c}\bigcap (A\bigcup B)^{c}=(A\bigcup B)^{c}=\{0,1,4,6,8,10\}[/tex]
    [tex](A^{c}\bigcap B)^{c}+(A\bigcup B^{c})^{c}=(\emptyset)^{c}+(\{0,1,2,3,4,5,6,7,8,10\})^{c}=S+\{9\}=S[/tex]