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Misalkan himpunan semesta adalah himpunan semua bilangan asli dan misalkan D={x∣ x kelipatan 5} dan E={x∣ x kelipatan 10}, maka D−Ec.

Pertanyaan

Misalkan himpunan semesta adalah himpunan semua bilangan asli dan misalkan begin mathsize 14px style D equals open curly brackets x vertical line space x space kelipatan space 5 close curly brackets end style dan begin mathsize 14px style E equals open curly brackets x vertical line space x space kelipatan space 10 close curly brackets end style, maka begin mathsize 14px style D minus E to the power of c end style

  1. begin mathsize 14px style left curly bracket 10 comma 20 comma 30 comma 40 comma 50 comma... right curly bracket equals E end style  

  2. begin mathsize 14px style left curly bracket 1 comma 2 comma 3 comma 4 comma 5 comma... right curly bracket equals E end style 

  3. begin mathsize 14px style left curly bracket 10 comma 20 comma 30 comma 40 comma 50 comma... right curly bracket equals D end style 

  4. begin mathsize 14px style left curly bracket 1 comma 2 comma 3 comma 4 comma 5 comma... right curly bracket equals D end style 

F. Freelancer9

Master Teacher

Jawaban terverifikasi

Jawaban

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Pembahasan

Diketahui:

size 14px S size 14px equals begin mathsize 14px style left curly bracket himpunan space bilangan space asli right curly bracket end style size 14px D size 14px equals begin mathsize 14px style left curly bracket x vertical line space x space kelipatan space 5 right curly bracket end style size 14px E size 14px equals begin mathsize 14px style left curly bracket x vertical line space x space kelipatan space 10 right curly bracket end style 

Ditanya:

size 14px D size 14px minus size 14px E to the power of size 14px c

Jawab:

size 14px S size 14px equals begin mathsize 14px style left curly bracket himpunan space bilangan space asli right curly bracket end style size 14px S size 14px equals begin mathsize 14px style left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space.... right curly bracket end style size 14px D size 14px equals begin mathsize 14px style left curly bracket x vertical line space x space kelipatan space 5 right curly bracket end style size 14px D size 14px equals begin mathsize 14px style left curly bracket 5 comma space 10 comma space 15 comma space 20 comma space 25 comma space 30 comma space.... right curly bracket end style size 14px E size 14px equals begin mathsize 14px style left curly bracket x vertical line space x space kelipatan space 10 right curly bracket end style size 14px E size 14px equals begin mathsize 14px style left curly bracket 10 comma space 20 comma space 30 comma space 40 comma space.... right curly bracket end style size 14px E to the power of size 14px c size 14px equals begin mathsize 14px style left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 comma space 9 comma space 11 comma space 12 comma space.... right curly bracket end style  

 

size 14px D size 14px minus size 14px E to the power of size 14px c size 14px equals begin mathsize 14px style left curly bracket 10 comma space 20 comma space 30 comma space 40 comma space 50 comma space... right curly bracket end style size 14px equals size 14px E 

Jadi, undefined 

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Jika himpunan semesta S = {1,2,3,4,5,6,7,8,9}, A = {1,3,5}, dan B = {2,4,6,8}, maka B' - A = ...

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