1. Tardigrade
  2. Question
  3. Mathematics
  4. A prime ∪ (A ∪ B) ∩ B prime =

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $A^{\prime} \cup\left\{(A \cup B) \cap B^{\prime}\right\}=$

Sets

Solution:

$A^{\prime} \cup\left\{(A \cup B) \cap B^{\prime}\right\}$
$A^{\prime} \cup\left\{\left(A \cap B^{\prime}\right) \cup\left(B \cap B^{\prime}\right)\right\}$
$A^{\prime} \cup\left(A \cap B^{\prime}\right)=\left(A^{\prime} \cup A\right) \cap\left(A^{\prime} \cup B^{\prime}\right)=A^{\prime} \cup B^{\prime}=(A \cap B)^{\prime}$