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Answer:

a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}

b) A∩ B =  { 2, 4, 6 }

c) A-B = { 8 , 10}

Step-by-step explanation:

Step(i):-

Given that the sets

      U = { 1,2,3,4,5,6,7,8,9,10}

      A = { 2,4,6,8,10}

     B = { 1,2,3,4,5,6}

AUB = { 2,4,6,8,10} U  { 1,2,3,4,5,6}

AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}

Step(ii):-

A∩ B = {  2 ,4, 6, 8,10} ∩ { 1,2,3,4,5,6} = { 2, 4, 6 }

A-B = { 2,4,6,8,10} - { 1,2,3,4,5,6} = { 8 , 10}

Final answer:-

a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}

b) A∩ B =  { 2, 4, 6 }

c) A-B = { 8 , 10}

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