Question

13.If K={a,b,d,e,f} , L={b,c,d,g} and M={a,b,c,d,h} then 13.If K={a,b,d,e,f} , L={b,c,d,g} and M={a,b,c,d,h} then find (i) K U (L ∩ M) (ii)(K ∩ L) U (K ∩ M).

Answer 1

Answer:

(i)    K U (L ∩ M)

= {a,b,d,e,f} U ( {b,c,d,g} ∩ {a,b,c,d,h} )

=  {a,b,d,e,f} U {b,c,d}

=  {a,b,c,d,e,f}

(ii)   (K ∩ L) U (K ∩ M)

= ( {a,b,d,e,f} ∩ {b,c,d,g} ) U ( {a,b,d,e,f} ∩ {a,b,c,d,h} )

= {b,d} U {a,b,d}

= {a,b,d}