Determining subset relations

by RoRi

June 18, 2015

Determine the inclusion relations between the sets:

$A = \{ 1, -1 \}.$
$B = \{ 1 \}.$
$C = \{ 1 \}.$
$D = \{ 2 \}.$
$E = \{ 1, -17 \}.$
$F = \{ 1,-17,-8-\sqrt{47},-8+\sqrt{47} \}.$

The relations are:

$A \subseteq A,$
$B \subseteq A,$
$B \subseteq B,$
$B \subseteq C,$
$B \subseteq E,$
$B \subseteq F,$
$C \subseteq A,$
$C \subseteq B,$
$C \subseteq C,$
$C \subseteq E,$
$C \subseteq F,$
$D \subseteq D,$
$E \subseteq E,$
$E \subseteq F,$
$F \subseteq F.$

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