Question

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find (i) A ∪ B (ii) A ∪ C (iii) B ∪ C (iv) B ∪ D (v) A ∪ B ∪ C (vi) A ∪ B ∪ D (vii) B ∪ C ∪ D

Answer 1

The given sets are,

A={ 1,2,3,4 }, B={ 3,4,5,6 }, C={ 5,6,7,8 } and D={ 7,8,9,10 }

(i)

The union of A and B is,

A∪B={ 1,2,3,4,5,6 }

(ii)

The union of A and C is,

A∪C={ 1,2,3,4,5,6,7,8 }

(iii)

The union of B and C is,

B∪C={ 3,4,5,6,7,8 }

(iv)

The union of B and D is,

B∪D={ 3,4,5,6,7,8,9,10 }

(v)

The union of A, B and C is,

A∪B∪C={ 1,2,3,4,5,6,7,8 }

(vi)

The union of A, B and D is,

A∪B∪D={ 1,2,3,4,5,6,7,8,9,10 }.

(vii)

The union of B, C and D is,

B∪C∪D={ 3,4,5,6,7,8,9,10 }