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In a Boolean Algebra $B$, for all $x$, $y$ in $B$, $x \wedge(x \vee y)$ is equal to
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Verified Answer
The correct answer is:
$x$
$x \wedge(x \vee y)$
$=(x \wedge x) \vee(x \wedge y)$ by distribution law'
$=x \vee(x \wedge y)$ 'by idempotent law'
$=(x \vee f)$ 'by contradiction law'
$=x$
$=(x \wedge x) \vee(x \wedge y)$ by distribution law'
$=x \vee(x \wedge y)$ 'by idempotent law'
$=(x \vee f)$ 'by contradiction law'
$=x$
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