Let U - (7, 8, 9, 10, 11, 12, 13, 14, 15, 16). A - 17,...

Question

Question

math algebra

Answer 1

Answer #1

Given U ={7,8,9,10,11,12,13,14,15,16}

A={7,9,11,13,15}

B={8,10,12,14,16}

C={7,8,10,11,14,15}

Now complement of se A i.e A^c = {8,10,12,14} (Since A^c = {x ∈ U : x ∉ A} )

Similarly, B^c ={7,9,11,13,15}

and C^c = {9,12,13,16}

(a) A^c ∩ (B∩C^c) = {8,10,12,14} ∩ {12,16} = {12}

(b) (A U B^c) U (B∩C^c) ={7,9,11,13,15} U {12,16} = {7,9,11,12,13,15,16}

(c) (A U B)^c ∩ C^c = {Empty} ∩ {9,12,13,16} = {Empty}

Answer 2

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