From the sets given below, select equal sets and equivalent sets.… - Vidyadip

Question

From the sets given below, select equal sets and equivalent sets.
$A = \{0, a\},$
$B = \{1, 2, 3, 4\},$
$C = \{4, 8, 12\},$
$D = \{3, 1, 2, 4\},$
$E = \{1, 0\},$
$F = \{8, 4, 12\},$
$G = \{1, 5, 7, 11\},$
$H = \{a, b\}.$

✓

Answer

Equal sets:

$B$ and $D$, because every element of $B$ is a member of $D\ \&$ every element of $D$ is a member of $B.$
$C$ and $F,$ because every element of $C$ is a member of $F\ \&$ every element of $F$ is a member of $C.$

Equivalent sets:

$(a)$	$A, E$ and $H$	$\{\because n(A) = n(E) = n(H) = 2\}$
$(b)$	$B, D$ and $G$	$\{\because n(B) = n(D) = n(G) = 4\}$
$(c)$	$C$ and $F$	$\{\because n(C) = n(F) = 3\}$.

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