Question

If K={a,b,d,e,f,},L={b,c,d,g,} and M={a,b,c,d,h} then find the following K u (LnM) and verify distributive laws

Answer 1

Step-by-step explanation:

(i) K U (L n M)

(L n M) = { b, c, d }

K U (L n M) = {a, b, c, d, e, f}

(ii) K n (L U M)

(L U M) = {a, b, c, d, g, h}

K n (L U M) = {a, b, d}

(iii) (K U L) n (K U M)

(K U L) = {a, b, c, d, e, f, g}

(K U M) = {a, b, c , d, e, f, h}

(K U L) n (K U M) = {a, b , c, d , e, f}

(iv) (K n L) U (K n M)

K = {a, b, d, e, f}, L = {b, c, d, g} and M = {a, b, c, d, h}

(K n L) = {b, d}

(K n M) = {a, b, d}

(K n L) U (K n M) = {a, b, d}

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Answer 2

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