Solving Set Algebra Equations: Demorgan's and Distributive Law Explained

[pauliedangerous]

could anyone help me with this equation?

[(a' u b') n a'] = a

ive tried the following

[(a n b)' n a'] usng demorgans
[(a' n a') n b] using associative

then stuck and

[(a' n b') u (a' n a')] using distributive
[(a' n b') u a'] using indempotent

then stuck

thanks for any help

 

[HallsofIvy]

What exactly does a' mean? I first assumed you meant the complement of a but then [(a' u b') n a'] = a can't be true.

 

[necro_ignis]

[(a' u b') n a'] can't equal a. Doesn't it equal a'?

 

[pauliedangerous]

teacher just let us know that there was a complement sign missing from the paper that was ment to be on the outside of the square brackets - i got it done ok now its possible