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Verify \((A \cap B)^{\prime}\) \(=\) \(A^{\prime} \cup B^{\prime}\) using Venn diagram.
 
L.H.S: \((A \cap B)^{\prime}\)
 
LHS_(ANB)'.svg
 
R.H.S: \(A^{\prime} \cup B^{\prime}\)
 
RHS_A_pri U_B_pri.svg
 
Therefore, \((A \cap B)^{\prime}\) \(=\) \(A^{\prime} \cup B^{\prime}\).