Question

$A-(B-C)=(A-B)\cup (A\cap C)$.
If the given equation is true, enter $1$. If false enter $0$.

Answer 1

$A-(B-C)=A-(B-C^{\prime })$ $=A\cap {(B\cup C^{\prime })}^{\prime }$ $=A\cap (B^{\prime }\cup C)=A\cap B^{\prime }\cup (A\cap C)$ $=(A-B)\cup (A\cap C)$
Hence Given expression is true