Question 915898: Can someone please look these over and see if I've done them right?
(a) 0 ∈ ∅ - true or false: 0 is an element of null. FALSE: 0 is a real number
(b) ∅ ∈ {0}- true or false: Null is an element in the set {0}. FALSE: Null and 0 are not the same thing.
(c) {0} ⊂ ∅ - true or false: 0 is a subset of null. FALSE: 0 is a real number.
(d) ∅ ⊂ {0} - true or false: Null is a subset of 0. False: Null is not a number, but 0 is.
(e) {0} ∈ {0} - true or false: 0 is an element in the set 0. TRUE: 0 is part of the set 0.
(f) {0} ⊂ {0} - true or false: 0 is a subset of 0. TRUE: 0 is part of the set 0.
(g) {∅} ⊆ {∅}- true or false; Null is a subset of the set null. TRUE: the subset null can fit into the set null.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Can someone please look these over and see if I've done them right?
(a) 0 ∈ ∅ - true or false: 0 is an element of null. FALSE: 0 is a real number
(b) ∅ ∈ {0}- true or false: Null is an element in the set {0}. FALSE: Null and 0 are not the same thing.
(c) {0} ⊂ ∅ - true or false: 0 is a subset of null. FALSE: 0 is a real number.
(d) ∅ ⊂ {0} - true or false: Null is a subset of 0. False: Null is not a number, but 0 is.
(e) {0} ∈ {0} - true or false: 0 is an element in the set 0. FALSE::
The only element in {0} is 0, not the set {0}
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(f) {0} ⊂ {0} - true or false: 0 is a subset of 0. TRUE: 0 is a subset of
itself
(g) {∅} ⊆ {∅}- true or false; Null is a subset of the set null. TRUE: Every set is a subset of itself.
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Cheers,
Stan H.
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