Question

A-b={1,2,4}, b-a={7,8},aub={1,2,3,4,5,7,8,9}, find a and b

Answer 1

ANSWER:

A-B={1,2,4} - MEANS 1,2,4 are elements in A but not in B

B-A={7,8} - MEANS 7,8 are in B but not in A

AuB={1,2,3,4,5,7,8,9} - MEANS 3,5,9 are common in both the sets A and B

A={1,2,3,4,5,9}

B={3,5,7,8,9}

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Answer 2

Answer:

The sets are A =  { 1, 2, 3, 4, 5, 9} and B =  { 3, 5, 7, 8, 9 }

Step-by-step explanation:

The given sets are

A - B = {1, 2, 4}

B - A = { 7, 8}

A∪B = {1, 2, 3, 4, 5, 7, 8, 9}

(A - B) ⊂ A and (B - A) ⊂ B

A = (A∪B) - ( B - A)

A =  { 1, 2, 3, 4, 5, 9}

B = (A∪B) - ( A - B)

B =  { 3, 5, 7, 8, 9 }

Therefore the sets are A =  { 1, 2, 3, 4, 5, 9} and B =  { 3, 5, 7, 8, 9 }