Mathematics, 27.07.2019 05:10 richdakid26
Determine whether the statement is true or false. if it is true, explain why it is true. if it is false, give an example to show why it is false. a proper subset of a set is itself a subset of the set but not necessarily vice versa.
true. let a={1,2,3} and b={1}. then b is a proper subset of a, and thus a subset of a. but a is not a proper subset of b.
true. let a={1,2} and b={2,3}. then b is a proper subset of a, and thus a subset of a. but a is not a proper subset of b.
false. let a={1,2,3} and b={1,2,3}. then b is a proper subset of a, and thus a subset of a, and a is a proper subset of b.
false. let a={1,2} and b={2,3}. then b is a proper subset of a, and thus a subset of a, and a is both a subset of a and a proper subset of a.
false. let a={1,2} and b=∅. then b is a proper subset of a, and thus a subset of a, and a is a subset of b, because everything is a subset of ∅.
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