UPSKILL MATH PLUS

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If \(K = \{a, b, d, e, f\}\), \(L = \{b, c, d, g\}\) and \(M = \{a, b, c, d, h\}\), then find the following:
 
(i) \(K \cup (L \cap M) =\)
 
(ii) \(K \cap (L \cup M) =\)
 
(iii) \((K \cup L) \cap (K \cup M) =\)
 
(iv) \((K \cap L) \cup (K \cap M) =\)
 
And, verify distributive laws.
 
Important!
This is a creative task. Solve this question and assess the solution steps after the completion of test on your own.