- #1
Ayushi160695
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Homework Statement
Can anyone please help me solve these questions?
(1) Prove that (A-B) - (B-C) = A-B
(2)Simplify (A-( A N B)) N (B-(ANB))
(3) Simplify ( ( A N ( B U C)) N ( A-B)) N ( B U C')
(4)Use element property and algebraic argument to derive the property
(A-B) U (B-C) = (A U B) - (B N C)
(5) Derive the set identity A U (A NB) = A
(6) Derive the set identity A N ( A U B) = A
N stands for intersection.
Thank you for your time.
Homework Equations
A-B = A N B'- Set Difference rules
A N ( A U B) - Distributive rule : (A N A) U (A N B)
(A' N B') = (A U B)' - De Morgans Law
The Attempt at a Solution
Distributive[/B] rules A N (A U B) = ( A N A) U ( A N B) = A U (A NB) then I don't know how to go there, if i continue with associative rule I simply revert back to the initial step? Same for question 5. For Q 1 (A N B') N ( B' N C) and then I don't know how to go from there.
Q 2 and 3 got me confused with all the brackets to be honest...I don't even know which rules to use? Any hint?
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