Solution to Determine whether the statements below are true or false. (a) x ϵ {x} (b) {x} … - Sikademy
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Archangel Macsika

Determine whether the statements below are true or false. (a) x ϵ {x} (b) {x} ⊆ {x} (c) {x} ϵ {x} (d) {x} ϵ {{x}} (e) {Ø} ⊆ {Ø,,{Ø}} (f) Ø ⊆ {x} (g) Ø ⊆ {x}

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a) true, x is an element of the set \{x\} ;

b) true, the set \{x\} is a subset of itself;

c) false, x is an element of \{x\} , but the set \{x\} is not an element of \{x\} ;

d) true, the set \{x\} is an element of the set \{\{x\}\} ;

e) true, the set \{Ø\} is an element of the set \{Ø,\{Ø\}\} ;

f) true, g) true, the empty set Ø is a subset of any set.

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Question ID: mtid-5-stid-8-sqid-3701-qpid-2400