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Determine whether these statements are true or false.
a.∅ ∈ {∅}
b.∅ ∈ {∅,{∅}}
c.{∅} ∈ {∅}
d.{∅} ∈ {{∅}}
e.{∅} ⊂ {∅,{∅}} f ) {{∅}} ⊂ {∅,{∅}} g) {{∅}} ⊂ {{∅},{∅}}

Answer :

LammettHash
a. True
b. True
c. False; a set can't belong to itself
d. True
e. True
f. False; the only subsets of [tex]\{\varnothing,\{\varnothing\}\}[/tex] are [tex]\varnothing[/tex], [tex]\{\varnothing\}[/tex], and [tex]\{\varnothing,\{\varnothing\}\}[/tex]
g. True

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