Question

Let $A$ and $B$ be subsets of a set $U$. Identify if the given statement is right or wrong
$A\cup A^{\prime }=U$

Answer 1

$A$ and $B$ are subset of $U$.

$A\cup A^{\prime }=A\cup (U-A)$(bacause $A^{\prime }=U-A$)

$A\cup A^{\prime }=U$(Complement law)