Mathematics

If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)

If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)

  • A.
    {a,b,c,d}
  • B.
    {a,b,c,d,e}
  • C.
    {a,b,c,d,e,f}
  • D.
    {a,b,c}
  • E.
    Φ
Correct Answer: Option B
Explanation

A = {a, b, c};  B = {a, b, c, d, e}; C = {a, b, c, d, e, f}

(A (cup) B) = {a, b, c, d, e}

(A (cup) C) = {a, b, c, d, e, f}

(A (cup) B) (cap) (A (cup) C) = {a, b, c, d, e}