Question

In a Boolean Algebra $B$, for all $x,y$ in $B$, $x\wedge (x\vee y)$ is equal to

• A. $y$
• B. $x$
• C. $1$
• D. $0$

Answer 1

Answer: (B)

$x$

$x\wedge (x\vee y)$

$=(x\wedge x)\vee (x\wedge y)$ 'by distribution law'
$=x\vee (x\wedge y)$ 'by idempotent law'
$=x$ 'by absorption law'