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Use the laws of set algebra to prove m AanB):

set algebra.png

Any guidance would be greatly appreciated

For i)

A ∪ (A' ∩ B) = A ∪ B

LHS= A ∪ (A' ∩ B)

= (A ∪ A') ∩ (A ∪ B)

= U ∩ (A ∪ B)

= A ∪ B


Is that right?

For the second question I am confused how to work with that many complements?

A ∪ (( B' ∩ A) ∩ A'= U

How do I tackle this?


set algebra.png

9. Use the laws of set algebra to prove m AanB):AuB {ii} Au([§7fi)n§]=fl

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1 comment
  • Please ask if you have any doubt
    • math_phys_EE_helper
    • Apr 02, 2018 at 7:13am

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Here is a detailed explanation... View the full answer

i) your proof is... View the full answer

for second part I am using complement sign istead bar. you should use de-morgan law ( B c  ∩ ... View the full answer

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