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Match the following identities/laws to their corresponding name $:$

$\begin{array}{}  \text{(a)} & \text{x+x = x} & \text{i.} & \text{Dominance} \\ & \text{x $\cdot$x = x}  \\  \text{(b)} & \text{x+0 = x} & \text{ii.} & \text{Absorption} \\ & \text{x $\cdot$1 = x}  \\  \text{(c)} & \text{x+1 = 1} & \text{iiii.} & \text{Idempotent} \\ & \text{x $\cdot$1 = x}  \\  \text{(d)} & \text{x$\cdot$(x+y)= x} & \text{iv.} & \text{Identity} \\  \end{array}$

$\textbf{Codes :}$

  1. $\text{(a)-iii, (b)-iv, (c)-i, (d)-ii}$
  2. $\text{(a)-iv, (b)-iii, (c)-i, (d)-ii}$
  3. $\text{(a)-iv, (b)-iii, (c)-ii, (d)-i}$
  4. $\text{(a)-iii, (b)-iv, (c)-ii, (d)-i}$
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1 Answer

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a. x+x=x

    x.x =x

iii. Idempotent

b. x+0=x

   x . 1 =x

iv. Identity

c. x+1=1

   x ∙ 1 =x

i. Dominance
d. x . (x+y) =x  ii. Absorption
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