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If $A=\{1,2,3,4\},B=\{3,4,5,6\},C=\{5,6,7,8\}$ and $D=\{7,8,9,10\}$ Find $A \cup B\cup C$

$\begin{array}{1 1}(A)\;\{1,2,3,4,5,6,7,8\}\\(B)\;\{1,2,3,4\}\\(C)\;\{1,2,3\}\\(D)\;\{1,2,3,4,5\}\end{array} $

1 Answer

Toolbox:
  • $(A\cup B)\cup C=A\cup (B\cup C)$
$A=\{1,2,3,4\}$
$B=\{3,4,5,6\}$
$C=\{5,6,7,8\}$
$A\cup B=\{1,2,3,4\}\cup \{3,4,5,6\}$
$\Rightarrow \{1,2,3,4,5,6\}$
$(A\cup B)\cup C=\{1,2,3,4,5,6\}\cup \{5,6,7,8\}$
$\Rightarrow \{1,2,3,4,5,6,7,8\}$
Hence (A) is the correct answer.
answered May 26, 2014 by sreemathi.v
 
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