Let $$ U=\{1,2,3, \ldots-10\} $$ be a universal set. $$ A=3 imes 1 $$ is a positive factor of 10 in $$ U $$ ind $$ B=\{ imes 1 imes $$ is an odd integers in U? be sets. $$ A_{1} $$ find $$ A^{\prime} $$ and $$ B^{\prime} $$ $$ B_{1} $$ find $$ A \cup B^{\prime} $$ and $$ A^{\prime} n B^{\prime} $$. What do you abserve from the answers?

Question

Let $$ U=\{1,2,3, \ldots-10\} $$ be a universal set. $$ A=3 	imes 1 $$ is a positive factor of 10 in $$ U $$ ind $$ B=\{	imes 1 	imes $$ is an odd integers in U? be sets. $$ A_{1} $$ find $$ A^{\prime} $$ and $$ B^{\prime} $$ $$ B_{1} $$ find $$ A \cup B^{\prime} $$ and $$ A^{\prime} n B^{\prime} $$. What do you abserve from the answers?

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The universal set $$ U $$ is assumed to be $$ \{1, 2, 3, \ldots, 10\} $$. Set $$ A $$ contains the positive factors of 10, so $$ A = \{1, 2, 5, 10\} $$. Set $$ B $$ contains the odd integers in $$ U $$, so $$ B = \{1, 3, 5, 7, 9\} $$. The complement of $$ A $$, $$ A' $$, is $$ \{3, 4, 6, 7, 8, 9\} $$, and the complement of $$ B $$, $$ B' $$, is $$ \{2, 4, 6, 8, 10\} $$. The union of $$ A $$ and $$ B' $$ is $$ \{1, 2, 4, 5, 6, 8, 10\} $$, and their intersection is $$ \{4, 6, 8\} $$. The union shows combined elements from both sets, and the intersection shows common elements that are neither in $$ A $$ nor in $$ B $$.

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