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

Mathematics
WAEC 1989

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
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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}


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