in Set Theory & Algebra
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Determine whether each of these statements is true or
false.

  1.  0 ∈ ∅
  2.  ∅ ∈ {0}
  3.  {0} ⊂ ∅ 
  4.  ∅ ⊂ {0}
  5.  {0} ∈ {0} 
  6. {0} ⊂ {0}
  7.  {∅} ⊆ {∅}
in Set Theory & Algebra
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2 Comments

i think only 4 and 7 are true

for eg: 0 belongs to {0} is true but 0 is a subset of {0} is false. Subset is used with Set in LHS while Belongs to is used when an element of a set is in LHS.

for 5. it is saying {0} is a proper subset of {0} which is false
0
0
1F 2F 3F 4T 5F 6F 7T
0
0

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